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Finding the Fourth Proportional to 21,191.56, 31,782 and 8,715.06

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Solution

The fourth proportional to 21,191.56, 31,782 and 8,715.06 is: 13,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.56 : 31,782 = 8,715.06 : x
  2. Step 2: Convert to fraction form
    21,191.56/31,782 = 8,715.06/x
  3. Step 3: Cross multiply
    21,191.56x = 31,782 × 8,715.06
  4. Step 4: Simplify right side
    21,191.56x = 276,982,036.92
  5. Step 5: Solve for x
    x = 276,982,036.92/21,191.56
  6. Step 6: Final answer
    x = 13,070.39

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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.