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Finding the Fourth Proportional to 13,000, 17,943.20 and 7,414.24

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Solution

The fourth proportional to 13,000, 17,943.20 and 7,414.24 is: 10,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 17,943.20 = 7,414.24 : x
  2. Step 2: Convert to fraction form
    13,000/17,943.20 = 7,414.24/x
  3. Step 3: Cross multiply
    13,000x = 17,943.20 × 7,414.24
  4. Step 4: Simplify right side
    13,000x = 133,035,191.17
  5. Step 5: Solve for x
    x = 133,035,191.17/13,000
  6. Step 6: Final answer
    x = 10,233.48

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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.