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Finding the Fourth Proportional to 15,142.71, 20,885.08 and 9,839.25

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Solution

The fourth proportional to 15,142.71, 20,885.08 and 9,839.25 is: 13,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.71 : 20,885.08 = 9,839.25 : x
  2. Step 2: Convert to fraction form
    15,142.71/20,885.08 = 9,839.25/x
  3. Step 3: Cross multiply
    15,142.71x = 20,885.08 × 9,839.25
  4. Step 4: Simplify right side
    15,142.71x = 205,493,523.39
  5. Step 5: Solve for x
    x = 205,493,523.39/15,142.71
  6. Step 6: Final answer
    x = 13,570.46

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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.