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Finding the Fourth Proportional to 5,489.74, 7,575.78 and 2,971.79

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Solution

The fourth proportional to 5,489.74, 7,575.78 and 2,971.79 is: 4,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.74 : 7,575.78 = 2,971.79 : x
  2. Step 2: Convert to fraction form
    5,489.74/7,575.78 = 2,971.79/x
  3. Step 3: Cross multiply
    5,489.74x = 7,575.78 × 2,971.79
  4. Step 4: Simplify right side
    5,489.74x = 22,513,627.25
  5. Step 5: Solve for x
    x = 22,513,627.25/5,489.74
  6. Step 6: Final answer
    x = 4,101.04

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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.