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Finding the Fourth Proportional to 15,687.68, 23,515.72 and 6,921.05

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Solution

The fourth proportional to 15,687.68, 23,515.72 and 6,921.05 is: 10,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.68 : 23,515.72 = 6,921.05 : x
  2. Step 2: Convert to fraction form
    15,687.68/23,515.72 = 6,921.05/x
  3. Step 3: Cross multiply
    15,687.68x = 23,515.72 × 6,921.05
  4. Step 4: Simplify right side
    15,687.68x = 162,753,339.02
  5. Step 5: Solve for x
    x = 162,753,339.02/15,687.68
  6. Step 6: Final answer
    x = 10,374.60

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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.