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Finding the Fourth Proportional to 11,695.92, 16,138.14 and 6,980.64

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Solution

The fourth proportional to 11,695.92, 16,138.14 and 6,980.64 is: 9,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.92 : 16,138.14 = 6,980.64 : x
  2. Step 2: Convert to fraction form
    11,695.92/16,138.14 = 6,980.64/x
  3. Step 3: Cross multiply
    11,695.92x = 16,138.14 × 6,980.64
  4. Step 4: Simplify right side
    11,695.92x = 112,654,545.61
  5. Step 5: Solve for x
    x = 112,654,545.61/11,695.92
  6. Step 6: Final answer
    x = 9,631.95

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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.