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Finding the Fourth Proportional to 9,330.32, 12,876 and 5,138.48

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Solution

The fourth proportional to 9,330.32, 12,876 and 5,138.48 is: 7,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.32 : 12,876 = 5,138.48 : x
  2. Step 2: Convert to fraction form
    9,330.32/12,876 = 5,138.48/x
  3. Step 3: Cross multiply
    9,330.32x = 12,876 × 5,138.48
  4. Step 4: Simplify right side
    9,330.32x = 66,163,068.48
  5. Step 5: Solve for x
    x = 66,163,068.48/9,330.32
  6. Step 6: Final answer
    x = 7,091.19

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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.