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Finding the Fourth Proportional to 12,702.52, 17,527.08 and 8,231.92

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Solution

The fourth proportional to 12,702.52, 17,527.08 and 8,231.92 is: 11,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.52 : 17,527.08 = 8,231.92 : x
  2. Step 2: Convert to fraction form
    12,702.52/17,527.08 = 8,231.92/x
  3. Step 3: Cross multiply
    12,702.52x = 17,527.08 × 8,231.92
  4. Step 4: Simplify right side
    12,702.52x = 144,281,520.39
  5. Step 5: Solve for x
    x = 144,281,520.39/12,702.52
  6. Step 6: Final answer
    x = 11,358.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.