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Finding the Fourth Proportional to 6,411.12, 8,846.86 and 3,578.28

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Solution

The fourth proportional to 6,411.12, 8,846.86 and 3,578.28 is: 4,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.12 : 8,846.86 = 3,578.28 : x
  2. Step 2: Convert to fraction form
    6,411.12/8,846.86 = 3,578.28/x
  3. Step 3: Cross multiply
    6,411.12x = 8,846.86 × 3,578.28
  4. Step 4: Simplify right side
    6,411.12x = 31,656,542.20
  5. Step 5: Solve for x
    x = 31,656,542.20/6,411.12
  6. Step 6: Final answer
    x = 4,937.76

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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.