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Finding the Fourth Proportional to 13,915.76, 20,862.68 and 6,890.86

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Solution

The fourth proportional to 13,915.76, 20,862.68 and 6,890.86 is: 10,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.76 : 20,862.68 = 6,890.86 : x
  2. Step 2: Convert to fraction form
    13,915.76/20,862.68 = 6,890.86/x
  3. Step 3: Cross multiply
    13,915.76x = 20,862.68 × 6,890.86
  4. Step 4: Simplify right side
    13,915.76x = 143,761,807.10
  5. Step 5: Solve for x
    x = 143,761,807.10/13,915.76
  6. Step 6: Final answer
    x = 10,330.86

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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.