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Finding the Fourth Proportional to 5,489.59, 7,575.58 and 2,971.65

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Solution

The fourth proportional to 5,489.59, 7,575.58 and 2,971.65 is: 4,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.59 : 7,575.58 = 2,971.65 : x
  2. Step 2: Convert to fraction form
    5,489.59/7,575.58 = 2,971.65/x
  3. Step 3: Cross multiply
    5,489.59x = 7,575.58 × 2,971.65
  4. Step 4: Simplify right side
    5,489.59x = 22,511,987.71
  5. Step 5: Solve for x
    x = 22,511,987.71/5,489.59
  6. Step 6: Final answer
    x = 4,100.85

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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.