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Finding the Fourth Proportional to 11,500.71, 15,870.91 and 6,723.87

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Solution

The fourth proportional to 11,500.71, 15,870.91 and 6,723.87 is: 9,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.71 : 15,870.91 = 6,723.87 : x
  2. Step 2: Convert to fraction form
    11,500.71/15,870.91 = 6,723.87/x
  3. Step 3: Cross multiply
    11,500.71x = 15,870.91 × 6,723.87
  4. Step 4: Simplify right side
    11,500.71x = 106,713,935.62
  5. Step 5: Solve for x
    x = 106,713,935.62/11,500.71
  6. Step 6: Final answer
    x = 9,278.90

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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.