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Finding the Fourth Proportional to 10,607.64, 15,915.96 and 5,676

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Solution

The fourth proportional to 10,607.64, 15,915.96 and 5,676 is: 8,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.64 : 15,915.96 = 5,676 : x
  2. Step 2: Convert to fraction form
    10,607.64/15,915.96 = 5,676/x
  3. Step 3: Cross multiply
    10,607.64x = 15,915.96 × 5,676
  4. Step 4: Simplify right side
    10,607.64x = 90,338,988.96
  5. Step 5: Solve for x
    x = 90,338,988.96/10,607.64
  6. Step 6: Final answer
    x = 8,516.41

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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.