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Finding the Fourth Proportional to 11,376.67, 15,695.49 and 6,898.87

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Solution

The fourth proportional to 11,376.67, 15,695.49 and 6,898.87 is: 9,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.67 : 15,695.49 = 6,898.87 : x
  2. Step 2: Convert to fraction form
    11,376.67/15,695.49 = 6,898.87/x
  3. Step 3: Cross multiply
    11,376.67x = 15,695.49 × 6,898.87
  4. Step 4: Simplify right side
    11,376.67x = 108,281,145.10
  5. Step 5: Solve for x
    x = 108,281,145.10/11,376.67
  6. Step 6: Final answer
    x = 9,517.82

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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.