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Finding the Fourth Proportional to 7,879.64, 10,874.92 and 4,523

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Solution

The fourth proportional to 7,879.64, 10,874.92 and 4,523 is: 6,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.64 : 10,874.92 = 4,523 : x
  2. Step 2: Convert to fraction form
    7,879.64/10,874.92 = 4,523/x
  3. Step 3: Cross multiply
    7,879.64x = 10,874.92 × 4,523
  4. Step 4: Simplify right side
    7,879.64x = 49,187,263.16
  5. Step 5: Solve for x
    x = 49,187,263.16/7,879.64
  6. Step 6: Final answer
    x = 6,242.32

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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.