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Finding the Fourth Proportional to 25,312.92, 37,978.94 and 10,520.60

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Solution

The fourth proportional to 25,312.92, 37,978.94 and 10,520.60 is: 15,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.92 : 37,978.94 = 10,520.60 : x
  2. Step 2: Convert to fraction form
    25,312.92/37,978.94 = 10,520.60/x
  3. Step 3: Cross multiply
    25,312.92x = 37,978.94 × 10,520.60
  4. Step 4: Simplify right side
    25,312.92x = 399,561,072.57
  5. Step 5: Solve for x
    x = 399,561,072.57/25,312.92
  6. Step 6: Final answer
    x = 15,784.87

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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.