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Finding the Fourth Proportional to 9,102.22, 12,561 and 5,123.26

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Solution

The fourth proportional to 9,102.22, 12,561 and 5,123.26 is: 7,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.22 : 12,561 = 5,123.26 : x
  2. Step 2: Convert to fraction form
    9,102.22/12,561 = 5,123.26/x
  3. Step 3: Cross multiply
    9,102.22x = 12,561 × 5,123.26
  4. Step 4: Simplify right side
    9,102.22x = 64,353,268.86
  5. Step 5: Solve for x
    x = 64,353,268.86/9,102.22
  6. Step 6: Final answer
    x = 7,070.06

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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.