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Finding the Fourth Proportional to 7,879.61, 11,807.10 and 4,549.90

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Solution

The fourth proportional to 7,879.61, 11,807.10 and 4,549.90 is: 6,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.61 : 11,807.10 = 4,549.90 : x
  2. Step 2: Convert to fraction form
    7,879.61/11,807.10 = 4,549.90/x
  3. Step 3: Cross multiply
    7,879.61x = 11,807.10 × 4,549.90
  4. Step 4: Simplify right side
    7,879.61x = 53,721,101.54
  5. Step 5: Solve for x
    x = 53,721,101.54/7,879.61
  6. Step 6: Final answer
    x = 6,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.