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Finding the Fourth Proportional to 13,110.67, 18,092.68 and 7,142.32

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Solution

The fourth proportional to 13,110.67, 18,092.68 and 7,142.32 is: 9,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.67 : 18,092.68 = 7,142.32 : x
  2. Step 2: Convert to fraction form
    13,110.67/18,092.68 = 7,142.32/x
  3. Step 3: Cross multiply
    13,110.67x = 18,092.68 × 7,142.32
  4. Step 4: Simplify right side
    13,110.67x = 129,223,714.98
  5. Step 5: Solve for x
    x = 129,223,714.98/13,110.67
  6. Step 6: Final answer
    x = 9,856.38

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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.