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Finding the Fourth Proportional to 5,748.68, 8,618.40 and 5,422.76

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Solution

The fourth proportional to 5,748.68, 8,618.40 and 5,422.76 is: 8,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.68 : 8,618.40 = 5,422.76 : x
  2. Step 2: Convert to fraction form
    5,748.68/8,618.40 = 5,422.76/x
  3. Step 3: Cross multiply
    5,748.68x = 8,618.40 × 5,422.76
  4. Step 4: Simplify right side
    5,748.68x = 46,735,514.78
  5. Step 5: Solve for x
    x = 46,735,514.78/5,748.68
  6. Step 6: Final answer
    x = 8,129.78

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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.