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Finding the Fourth Proportional to 5,659.32, 8,489.10 and 1,763.76

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Solution

The fourth proportional to 5,659.32, 8,489.10 and 1,763.76 is: 2,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.32 : 8,489.10 = 1,763.76 : x
  2. Step 2: Convert to fraction form
    5,659.32/8,489.10 = 1,763.76/x
  3. Step 3: Cross multiply
    5,659.32x = 8,489.10 × 1,763.76
  4. Step 4: Simplify right side
    5,659.32x = 14,972,735.02
  5. Step 5: Solve for x
    x = 14,972,735.02/5,659.32
  6. Step 6: Final answer
    x = 2,645.68

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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.