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Finding the Fourth Proportional to 25,771.13, 38,656.72 and 7,049.78

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Solution

The fourth proportional to 25,771.13, 38,656.72 and 7,049.78 is: 10,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.13 : 38,656.72 = 7,049.78 : x
  2. Step 2: Convert to fraction form
    25,771.13/38,656.72 = 7,049.78/x
  3. Step 3: Cross multiply
    25,771.13x = 38,656.72 × 7,049.78
  4. Step 4: Simplify right side
    25,771.13x = 272,521,332.01
  5. Step 5: Solve for x
    x = 272,521,332.01/25,771.13
  6. Step 6: Final answer
    x = 10,574.68

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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.