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Finding the Fourth Proportional to 12,685.43, 17,505.99 and 7,648.65

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Solution

The fourth proportional to 12,685.43, 17,505.99 and 7,648.65 is: 10,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.43 : 17,505.99 = 7,648.65 : x
  2. Step 2: Convert to fraction form
    12,685.43/17,505.99 = 7,648.65/x
  3. Step 3: Cross multiply
    12,685.43x = 17,505.99 × 7,648.65
  4. Step 4: Simplify right side
    12,685.43x = 133,897,190.41
  5. Step 5: Solve for x
    x = 133,897,190.41/12,685.43
  6. Step 6: Final answer
    x = 10,555.19

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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.