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Finding the Fourth Proportional to 9,334.53, 12,881.04 and 5,142.78

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Solution

The fourth proportional to 9,334.53, 12,881.04 and 5,142.78 is: 7,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.53 : 12,881.04 = 5,142.78 : x
  2. Step 2: Convert to fraction form
    9,334.53/12,881.04 = 5,142.78/x
  3. Step 3: Cross multiply
    9,334.53x = 12,881.04 × 5,142.78
  4. Step 4: Simplify right side
    9,334.53x = 66,244,354.89
  5. Step 5: Solve for x
    x = 66,244,354.89/9,334.53
  6. Step 6: Final answer
    x = 7,096.70

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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.