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Finding the Fourth Proportional to 25,736, 35,515.68 and 13,960

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Solution

The fourth proportional to 25,736, 35,515.68 and 13,960 is: 19,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736 : 35,515.68 = 13,960 : x
  2. Step 2: Convert to fraction form
    25,736/35,515.68 = 13,960/x
  3. Step 3: Cross multiply
    25,736x = 35,515.68 × 13,960
  4. Step 4: Simplify right side
    25,736x = 495,798,892.80
  5. Step 5: Solve for x
    x = 495,798,892.80/25,736
  6. Step 6: Final answer
    x = 19,264.80

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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.