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Finding the Fourth Proportional to 8,407.50, 12,612.16 and 3,964.85

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Solution

The fourth proportional to 8,407.50, 12,612.16 and 3,964.85 is: 5,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.50 : 12,612.16 = 3,964.85 : x
  2. Step 2: Convert to fraction form
    8,407.50/12,612.16 = 3,964.85/x
  3. Step 3: Cross multiply
    8,407.50x = 12,612.16 × 3,964.85
  4. Step 4: Simplify right side
    8,407.50x = 50,005,289.46
  5. Step 5: Solve for x
    x = 50,005,289.46/8,407.50
  6. Step 6: Final answer
    x = 5,947.70

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1.5x scale

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.