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Finding the Fourth Proportional to 9,932.42, 13,702.82 and 6,397.68

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Solution

The fourth proportional to 9,932.42, 13,702.82 and 6,397.68 is: 8,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.42 : 13,702.82 = 6,397.68 : x
  2. Step 2: Convert to fraction form
    9,932.42/13,702.82 = 6,397.68/x
  3. Step 3: Cross multiply
    9,932.42x = 13,702.82 × 6,397.68
  4. Step 4: Simplify right side
    9,932.42x = 87,666,225.47
  5. Step 5: Solve for x
    x = 87,666,225.47/9,932.42
  6. Step 6: Final answer
    x = 8,826.27

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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.