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Finding the Fourth Proportional to 13,617.29, 18,793.76 and 7,649.42

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Solution

The fourth proportional to 13,617.29, 18,793.76 and 7,649.42 is: 10,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.29 : 18,793.76 = 7,649.42 : x
  2. Step 2: Convert to fraction form
    13,617.29/18,793.76 = 7,649.42/x
  3. Step 3: Cross multiply
    13,617.29x = 18,793.76 × 7,649.42
  4. Step 4: Simplify right side
    13,617.29x = 143,761,231.40
  5. Step 5: Solve for x
    x = 143,761,231.40/13,617.29
  6. Step 6: Final answer
    x = 10,557.26

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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.