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Finding the Fourth Proportional to 25,816.68, 38,721 and 7,098.12

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Solution

The fourth proportional to 25,816.68, 38,721 and 7,098.12 is: 10,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.68 : 38,721 = 7,098.12 : x
  2. Step 2: Convert to fraction form
    25,816.68/38,721 = 7,098.12/x
  3. Step 3: Cross multiply
    25,816.68x = 38,721 × 7,098.12
  4. Step 4: Simplify right side
    25,816.68x = 274,846,304.52
  5. Step 5: Solve for x
    x = 274,846,304.52/25,816.68
  6. Step 6: Final answer
    x = 10,646.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.