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Finding the Fourth Proportional to 23,142.75, 34,715.75 and 9,291.75

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Solution

The fourth proportional to 23,142.75, 34,715.75 and 9,291.75 is: 13,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.75 : 34,715.75 = 9,291.75 : x
  2. Step 2: Convert to fraction form
    23,142.75/34,715.75 = 9,291.75/x
  3. Step 3: Cross multiply
    23,142.75x = 34,715.75 × 9,291.75
  4. Step 4: Simplify right side
    23,142.75x = 322,570,023.60
  5. Step 5: Solve for x
    x = 322,570,023.60/23,142.75
  6. Step 6: Final answer
    x = 13,938.28

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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.