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Finding the Fourth Proportional to 7,158.26, 9,878.49 and 3,971.62

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Solution

The fourth proportional to 7,158.26, 9,878.49 and 3,971.62 is: 5,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.26 : 9,878.49 = 3,971.62 : x
  2. Step 2: Convert to fraction form
    7,158.26/9,878.49 = 3,971.62/x
  3. Step 3: Cross multiply
    7,158.26x = 9,878.49 × 3,971.62
  4. Step 4: Simplify right side
    7,158.26x = 39,233,608.45
  5. Step 5: Solve for x
    x = 39,233,608.45/7,158.26
  6. Step 6: Final answer
    x = 5,480.89

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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.