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Finding the Fourth Proportional to 6,443.62, 9,665.43 and 1,763.67

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Solution

The fourth proportional to 6,443.62, 9,665.43 and 1,763.67 is: 2,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.62 : 9,665.43 = 1,763.67 : x
  2. Step 2: Convert to fraction form
    6,443.62/9,665.43 = 1,763.67/x
  3. Step 3: Cross multiply
    6,443.62x = 9,665.43 × 1,763.67
  4. Step 4: Simplify right side
    6,443.62x = 17,046,640.44
  5. Step 5: Solve for x
    x = 17,046,640.44/6,443.62
  6. Step 6: Final answer
    x = 2,645.51

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Half scale
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Double scale
Find fourth proportional to 6,444.62, 9,666.93 and 1,764.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.