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Finding the Fourth Proportional to 7,117.49, 9,819.12 and 4,092.08

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Solution

The fourth proportional to 7,117.49, 9,819.12 and 4,092.08 is: 5,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.49 : 9,819.12 = 4,092.08 : x
  2. Step 2: Convert to fraction form
    7,117.49/9,819.12 = 4,092.08/x
  3. Step 3: Cross multiply
    7,117.49x = 9,819.12 × 4,092.08
  4. Step 4: Simplify right side
    7,117.49x = 40,180,633.96
  5. Step 5: Solve for x
    x = 40,180,633.96/7,117.49
  6. Step 6: Final answer
    x = 5,645.34

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