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Finding the Fourth Proportional to 5,489.61, 7,567.74 and 3,914.97

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Solution

The fourth proportional to 5,489.61, 7,567.74 and 3,914.97 is: 5,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.61 : 7,567.74 = 3,914.97 : x
  2. Step 2: Convert to fraction form
    5,489.61/7,567.74 = 3,914.97/x
  3. Step 3: Cross multiply
    5,489.61x = 7,567.74 × 3,914.97
  4. Step 4: Simplify right side
    5,489.61x = 29,627,475.07
  5. Step 5: Solve for x
    x = 29,627,475.07/5,489.61
  6. Step 6: Final answer
    x = 5,397.01

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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.