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Finding the Fourth Proportional to 10,486.15, 15,729.14 and 4,936.47

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Solution

The fourth proportional to 10,486.15, 15,729.14 and 4,936.47 is: 7,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.15 : 15,729.14 = 4,936.47 : x
  2. Step 2: Convert to fraction form
    10,486.15/15,729.14 = 4,936.47/x
  3. Step 3: Cross multiply
    10,486.15x = 15,729.14 × 4,936.47
  4. Step 4: Simplify right side
    10,486.15x = 77,646,428.80
  5. Step 5: Solve for x
    x = 77,646,428.80/10,486.15
  6. Step 6: Final answer
    x = 7,404.66

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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.