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Finding the Fourth Proportional to 15,142.78, 20,888.18 and 9,841.13

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Solution

The fourth proportional to 15,142.78, 20,888.18 and 9,841.13 is: 13,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.78 : 20,888.18 = 9,841.13 : x
  2. Step 2: Convert to fraction form
    15,142.78/20,888.18 = 9,841.13/x
  3. Step 3: Cross multiply
    15,142.78x = 20,888.18 × 9,841.13
  4. Step 4: Simplify right side
    15,142.78x = 205,563,319.45
  5. Step 5: Solve for x
    x = 205,563,319.45/15,142.78
  6. Step 6: Final answer
    x = 13,575.00

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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.