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Finding the Fourth Proportional to 5,489.64, 8,248.50 and 3,182.76

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Solution

The fourth proportional to 5,489.64, 8,248.50 and 3,182.76 is: 4,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.64 : 8,248.50 = 3,182.76 : x
  2. Step 2: Convert to fraction form
    5,489.64/8,248.50 = 3,182.76/x
  3. Step 3: Cross multiply
    5,489.64x = 8,248.50 × 3,182.76
  4. Step 4: Simplify right side
    5,489.64x = 26,252,995.86
  5. Step 5: Solve for x
    x = 26,252,995.86/5,489.64
  6. Step 6: Final answer
    x = 4,782.28

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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.