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Finding the Fourth Proportional to 9,013.42, 12,447.08 and 8,522.56

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Solution

The fourth proportional to 9,013.42, 12,447.08 and 8,522.56 is: 11,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.42 : 12,447.08 = 8,522.56 : x
  2. Step 2: Convert to fraction form
    9,013.42/12,447.08 = 8,522.56/x
  3. Step 3: Cross multiply
    9,013.42x = 12,447.08 × 8,522.56
  4. Step 4: Simplify right side
    9,013.42x = 106,080,986.12
  5. Step 5: Solve for x
    x = 106,080,986.12/9,013.42
  6. Step 6: Final answer
    x = 11,769.23

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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.