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Finding the Fourth Proportional to 10,266.57, 15,366.99 and 5,329.44

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Solution

The fourth proportional to 10,266.57, 15,366.99 and 5,329.44 is: 7,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.57 : 15,366.99 = 5,329.44 : x
  2. Step 2: Convert to fraction form
    10,266.57/15,366.99 = 5,329.44/x
  3. Step 3: Cross multiply
    10,266.57x = 15,366.99 × 5,329.44
  4. Step 4: Simplify right side
    10,266.57x = 81,897,451.19
  5. Step 5: Solve for x
    x = 81,897,451.19/10,266.57
  6. Step 6: Final answer
    x = 7,977.10

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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.