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Finding the Fourth Proportional to 7,874.32, 10,866.84 and 4,337.80

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Solution

The fourth proportional to 7,874.32, 10,866.84 and 4,337.80 is: 5,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.32 : 10,866.84 = 4,337.80 : x
  2. Step 2: Convert to fraction form
    7,874.32/10,866.84 = 4,337.80/x
  3. Step 3: Cross multiply
    7,874.32x = 10,866.84 × 4,337.80
  4. Step 4: Simplify right side
    7,874.32x = 47,138,178.55
  5. Step 5: Solve for x
    x = 47,138,178.55/7,874.32
  6. Step 6: Final answer
    x = 5,986.32

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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.