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Finding the Fourth Proportional to 25,913.14, 38,875.38 and 8,382.72

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Solution

The fourth proportional to 25,913.14, 38,875.38 and 8,382.72 is: 12,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.14 : 38,875.38 = 8,382.72 : x
  2. Step 2: Convert to fraction form
    25,913.14/38,875.38 = 8,382.72/x
  3. Step 3: Cross multiply
    25,913.14x = 38,875.38 × 8,382.72
  4. Step 4: Simplify right side
    25,913.14x = 325,881,425.43
  5. Step 5: Solve for x
    x = 325,881,425.43/25,913.14
  6. Step 6: Final answer
    x = 12,575.91

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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.