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Finding the Fourth Proportional to 6,380.65, 9,570.97 and 1,763.65

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Solution

The fourth proportional to 6,380.65, 9,570.97 and 1,763.65 is: 2,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.65 : 9,570.97 = 1,763.65 : x
  2. Step 2: Convert to fraction form
    6,380.65/9,570.97 = 1,763.65/x
  3. Step 3: Cross multiply
    6,380.65x = 9,570.97 × 1,763.65
  4. Step 4: Simplify right side
    6,380.65x = 16,879,830.97
  5. Step 5: Solve for x
    x = 16,879,830.97/6,380.65
  6. Step 6: Final answer
    x = 2,645.47

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Double scale
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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.