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Finding the Fourth Proportional to 25,695.66, 38,520.10 and 9,890.60

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Solution

The fourth proportional to 25,695.66, 38,520.10 and 9,890.60 is: 14,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.66 : 38,520.10 = 9,890.60 : x
  2. Step 2: Convert to fraction form
    25,695.66/38,520.10 = 9,890.60/x
  3. Step 3: Cross multiply
    25,695.66x = 38,520.10 × 9,890.60
  4. Step 4: Simplify right side
    25,695.66x = 380,986,901.06
  5. Step 5: Solve for x
    x = 380,986,901.06/25,695.66
  6. Step 6: Final answer
    x = 14,826.90

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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.