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Finding the Fourth Proportional to 7,715, 11,572.51 and 1,871.61

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Solution

The fourth proportional to 7,715, 11,572.51 and 1,871.61 is: 2,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715 : 11,572.51 = 1,871.61 : x
  2. Step 2: Convert to fraction form
    7,715/11,572.51 = 1,871.61/x
  3. Step 3: Cross multiply
    7,715x = 11,572.51 × 1,871.61
  4. Step 4: Simplify right side
    7,715x = 21,659,216.08
  5. Step 5: Solve for x
    x = 21,659,216.08/7,715
  6. Step 6: Final answer
    x = 2,807.42

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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.