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Finding the Fourth Proportional to 9,291.22, 12,840.32 and 7,609.97

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Solution

The fourth proportional to 9,291.22, 12,840.32 and 7,609.97 is: 10,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.22 : 12,840.32 = 7,609.97 : x
  2. Step 2: Convert to fraction form
    9,291.22/12,840.32 = 7,609.97/x
  3. Step 3: Cross multiply
    9,291.22x = 12,840.32 × 7,609.97
  4. Step 4: Simplify right side
    9,291.22x = 97,714,428.89
  5. Step 5: Solve for x
    x = 97,714,428.89/9,291.22
  6. Step 6: Final answer
    x = 10,516.85

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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.