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Finding the Fourth Proportional to 11,657.87, 17,490.38 and 6,983.15

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Solution

The fourth proportional to 11,657.87, 17,490.38 and 6,983.15 is: 10,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.87 : 17,490.38 = 6,983.15 : x
  2. Step 2: Convert to fraction form
    11,657.87/17,490.38 = 6,983.15/x
  3. Step 3: Cross multiply
    11,657.87x = 17,490.38 × 6,983.15
  4. Step 4: Simplify right side
    11,657.87x = 122,137,947.10
  5. Step 5: Solve for x
    x = 122,137,947.10/11,657.87
  6. Step 6: Final answer
    x = 10,476.87

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1.5x scale

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.