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Finding the Fourth Proportional to 25,857.47, 38,776.61 and 9,213.10

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Solution

The fourth proportional to 25,857.47, 38,776.61 and 9,213.10 is: 13,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.47 : 38,776.61 = 9,213.10 : x
  2. Step 2: Convert to fraction form
    25,857.47/38,776.61 = 9,213.10/x
  3. Step 3: Cross multiply
    25,857.47x = 38,776.61 × 9,213.10
  4. Step 4: Simplify right side
    25,857.47x = 357,252,711.68
  5. Step 5: Solve for x
    x = 357,252,711.68/25,857.47
  6. Step 6: Final answer
    x = 13,816.23

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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.