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Finding the Fourth Proportional to 25,245, 34,838.11 and 14,640.78

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Solution

The fourth proportional to 25,245, 34,838.11 and 14,640.78 is: 20,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 34,838.11 = 14,640.78 : x
  2. Step 2: Convert to fraction form
    25,245/34,838.11 = 14,640.78/x
  3. Step 3: Cross multiply
    25,245x = 34,838.11 × 14,640.78
  4. Step 4: Simplify right side
    25,245x = 510,057,104.13
  5. Step 5: Solve for x
    x = 510,057,104.13/25,245
  6. Step 6: Final answer
    x = 20,204.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.