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Finding the Fourth Proportional to 25,782, 38,679.48 and 7,314

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Solution

The fourth proportional to 25,782, 38,679.48 and 7,314 is: 10,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782 : 38,679.48 = 7,314 : x
  2. Step 2: Convert to fraction form
    25,782/38,679.48 = 7,314/x
  3. Step 3: Cross multiply
    25,782x = 38,679.48 × 7,314
  4. Step 4: Simplify right side
    25,782x = 282,901,716.72
  5. Step 5: Solve for x
    x = 282,901,716.72/25,782
  6. Step 6: Final answer
    x = 10,972.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.