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Finding the Fourth Proportional to 6,411.92, 8,849.84 and 4,057.20

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Solution

The fourth proportional to 6,411.92, 8,849.84 and 4,057.20 is: 5,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.92 : 8,849.84 = 4,057.20 : x
  2. Step 2: Convert to fraction form
    6,411.92/8,849.84 = 4,057.20/x
  3. Step 3: Cross multiply
    6,411.92x = 8,849.84 × 4,057.20
  4. Step 4: Simplify right side
    6,411.92x = 35,905,570.85
  5. Step 5: Solve for x
    x = 35,905,570.85/6,411.92
  6. Step 6: Final answer
    x = 5,599.82

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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.