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Finding the Fourth Proportional to 10,614.64, 15,922.08 and 3,689.20

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Solution

The fourth proportional to 10,614.64, 15,922.08 and 3,689.20 is: 5,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.64 : 15,922.08 = 3,689.20 : x
  2. Step 2: Convert to fraction form
    10,614.64/15,922.08 = 3,689.20/x
  3. Step 3: Cross multiply
    10,614.64x = 15,922.08 × 3,689.20
  4. Step 4: Simplify right side
    10,614.64x = 58,739,737.54
  5. Step 5: Solve for x
    x = 58,739,737.54/10,614.64
  6. Step 6: Final answer
    x = 5,533.84

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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.