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Finding the Fourth Proportional to 10,085.64, 15,123.66 and 3,511.02

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Solution

The fourth proportional to 10,085.64, 15,123.66 and 3,511.02 is: 5,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.64 : 15,123.66 = 3,511.02 : x
  2. Step 2: Convert to fraction form
    10,085.64/15,123.66 = 3,511.02/x
  3. Step 3: Cross multiply
    10,085.64x = 15,123.66 × 3,511.02
  4. Step 4: Simplify right side
    10,085.64x = 53,099,472.73
  5. Step 5: Solve for x
    x = 53,099,472.73/10,085.64
  6. Step 6: Final answer
    x = 5,264.86

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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.