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Finding the Fourth Proportional to 25,654.32, 38,482.56 and 8,123.76

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Solution

The fourth proportional to 25,654.32, 38,482.56 and 8,123.76 is: 12,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.32 : 38,482.56 = 8,123.76 : x
  2. Step 2: Convert to fraction form
    25,654.32/38,482.56 = 8,123.76/x
  3. Step 3: Cross multiply
    25,654.32x = 38,482.56 × 8,123.76
  4. Step 4: Simplify right side
    25,654.32x = 312,623,081.63
  5. Step 5: Solve for x
    x = 312,623,081.63/25,654.32
  6. Step 6: Final answer
    x = 12,185.98

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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.