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Finding the Fourth Proportional to 10,002.59, 15,006.16 and 3,428.38

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Solution

The fourth proportional to 10,002.59, 15,006.16 and 3,428.38 is: 5,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.59 : 15,006.16 = 3,428.38 : x
  2. Step 2: Convert to fraction form
    10,002.59/15,006.16 = 3,428.38/x
  3. Step 3: Cross multiply
    10,002.59x = 15,006.16 × 3,428.38
  4. Step 4: Simplify right side
    10,002.59x = 51,446,757.45
  5. Step 5: Solve for x
    x = 51,446,757.45/10,002.59
  6. Step 6: Final answer
    x = 5,143.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.