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Finding the Fourth Proportional to 15,776.64, 23,665.68 and 5,912.64

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Solution

The fourth proportional to 15,776.64, 23,665.68 and 5,912.64 is: 8,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.64 : 23,665.68 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    15,776.64/23,665.68 = 5,912.64/x
  3. Step 3: Cross multiply
    15,776.64x = 23,665.68 × 5,912.64
  4. Step 4: Simplify right side
    15,776.64x = 139,926,646.20
  5. Step 5: Solve for x
    x = 139,926,646.20/15,776.64
  6. Step 6: Final answer
    x = 8,869.23

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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.