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Finding the Fourth Proportional to 25,842.71, 38,758.93 and 7,117.90

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Solution

The fourth proportional to 25,842.71, 38,758.93 and 7,117.90 is: 10,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.71 : 38,758.93 = 7,117.90 : x
  2. Step 2: Convert to fraction form
    25,842.71/38,758.93 = 7,117.90/x
  3. Step 3: Cross multiply
    25,842.71x = 38,758.93 × 7,117.90
  4. Step 4: Simplify right side
    25,842.71x = 275,882,187.85
  5. Step 5: Solve for x
    x = 275,882,187.85/25,842.71
  6. Step 6: Final answer
    x = 10,675.44

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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.