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Finding the Fourth Proportional to 15,871.92, 23,807.92 and 4,778.64

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Solution

The fourth proportional to 15,871.92, 23,807.92 and 4,778.64 is: 7,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.92 : 23,807.92 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    15,871.92/23,807.92 = 4,778.64/x
  3. Step 3: Cross multiply
    15,871.92x = 23,807.92 × 4,778.64
  4. Step 4: Simplify right side
    15,871.92x = 113,769,478.83
  5. Step 5: Solve for x
    x = 113,769,478.83/15,871.92
  6. Step 6: Final answer
    x = 7,167.97

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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.