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Finding the Fourth Proportional to 7,874.20, 10,866.42 and 4,337.32

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Solution

The fourth proportional to 7,874.20, 10,866.42 and 4,337.32 is: 5,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.20 : 10,866.42 = 4,337.32 : x
  2. Step 2: Convert to fraction form
    7,874.20/10,866.42 = 4,337.32/x
  3. Step 3: Cross multiply
    7,874.20x = 10,866.42 × 4,337.32
  4. Step 4: Simplify right side
    7,874.20x = 47,131,140.79
  5. Step 5: Solve for x
    x = 47,131,140.79/7,874.20
  6. Step 6: Final answer
    x = 5,985.51

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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.