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Finding the Fourth Proportional to 10,324.28, 15,487 and 2,928.15

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Solution

The fourth proportional to 10,324.28, 15,487 and 2,928.15 is: 4,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.28 : 15,487 = 2,928.15 : x
  2. Step 2: Convert to fraction form
    10,324.28/15,487 = 2,928.15/x
  3. Step 3: Cross multiply
    10,324.28x = 15,487 × 2,928.15
  4. Step 4: Simplify right side
    10,324.28x = 45,348,239.69
  5. Step 5: Solve for x
    x = 45,348,239.69/10,324.28
  6. Step 6: Final answer
    x = 4,392.39

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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.