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Finding the Fourth Proportional to 7,443.68, 10,277.04 and 6,645.62

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Solution

The fourth proportional to 7,443.68, 10,277.04 and 6,645.62 is: 9,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.68 : 10,277.04 = 6,645.62 : x
  2. Step 2: Convert to fraction form
    7,443.68/10,277.04 = 6,645.62/x
  3. Step 3: Cross multiply
    7,443.68x = 10,277.04 × 6,645.62
  4. Step 4: Simplify right side
    7,443.68x = 68,297,302.56
  5. Step 5: Solve for x
    x = 68,297,302.56/7,443.68
  6. Step 6: Final answer
    x = 9,175.21

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.