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Finding the Fourth Proportional to 25,364.80, 38,047.20 and 7,834.60

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Solution

The fourth proportional to 25,364.80, 38,047.20 and 7,834.60 is: 11,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.80 : 38,047.20 = 7,834.60 : x
  2. Step 2: Convert to fraction form
    25,364.80/38,047.20 = 7,834.60/x
  3. Step 3: Cross multiply
    25,364.80x = 38,047.20 × 7,834.60
  4. Step 4: Simplify right side
    25,364.80x = 298,084,593.12
  5. Step 5: Solve for x
    x = 298,084,593.12/25,364.80
  6. Step 6: Final answer
    x = 11,751.90

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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.