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Finding the Fourth Proportional to 10,584.02, 15,863.28 and 3,915.20

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Solution

The fourth proportional to 10,584.02, 15,863.28 and 3,915.20 is: 5,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.02 : 15,863.28 = 3,915.20 : x
  2. Step 2: Convert to fraction form
    10,584.02/15,863.28 = 3,915.20/x
  3. Step 3: Cross multiply
    10,584.02x = 15,863.28 × 3,915.20
  4. Step 4: Simplify right side
    10,584.02x = 62,107,834.54
  5. Step 5: Solve for x
    x = 62,107,834.54/10,584.02
  6. Step 6: Final answer
    x = 5,868.08

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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.