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Finding the Fourth Proportional to 9,142.75, 12,616.54 and 5,164.43

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Solution

The fourth proportional to 9,142.75, 12,616.54 and 5,164.43 is: 7,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.75 : 12,616.54 = 5,164.43 : x
  2. Step 2: Convert to fraction form
    9,142.75/12,616.54 = 5,164.43/x
  3. Step 3: Cross multiply
    9,142.75x = 12,616.54 × 5,164.43
  4. Step 4: Simplify right side
    9,142.75x = 65,157,261.70
  5. Step 5: Solve for x
    x = 65,157,261.70/9,142.75
  6. Step 6: Final answer
    x = 7,126.66

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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.