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Finding the Fourth Proportional to 7,158.48, 9,877.62 and 4,092.11

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Solution

The fourth proportional to 7,158.48, 9,877.62 and 4,092.11 is: 5,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.48 : 9,877.62 = 4,092.11 : x
  2. Step 2: Convert to fraction form
    7,158.48/9,877.62 = 4,092.11/x
  3. Step 3: Cross multiply
    7,158.48x = 9,877.62 × 4,092.11
  4. Step 4: Simplify right side
    7,158.48x = 40,420,332.27
  5. Step 5: Solve for x
    x = 40,420,332.27/7,158.48
  6. Step 6: Final answer
    x = 5,646.50

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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.