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Finding the Fourth Proportional to 18,543.57, 27,825.47 and 7,868.28

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Solution

The fourth proportional to 18,543.57, 27,825.47 and 7,868.28 is: 11,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.57 : 27,825.47 = 7,868.28 : x
  2. Step 2: Convert to fraction form
    18,543.57/27,825.47 = 7,868.28/x
  3. Step 3: Cross multiply
    18,543.57x = 27,825.47 × 7,868.28
  4. Step 4: Simplify right side
    18,543.57x = 218,938,549.75
  5. Step 5: Solve for x
    x = 218,938,549.75/18,543.57
  6. Step 6: Final answer
    x = 11,806.71

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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.