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Finding the Fourth Proportional to 6,504.32, 8,977.20 and 4,149.20

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Solution

The fourth proportional to 6,504.32, 8,977.20 and 4,149.20 is: 5,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.32 : 8,977.20 = 4,149.20 : x
  2. Step 2: Convert to fraction form
    6,504.32/8,977.20 = 4,149.20/x
  3. Step 3: Cross multiply
    6,504.32x = 8,977.20 × 4,149.20
  4. Step 4: Simplify right side
    6,504.32x = 37,248,198.24
  5. Step 5: Solve for x
    x = 37,248,198.24/6,504.32
  6. Step 6: Final answer
    x = 5,726.69

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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.