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Finding the Fourth Proportional to 9,341.78, 12,891.66 and 5,150

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Solution

The fourth proportional to 9,341.78, 12,891.66 and 5,150 is: 7,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.78 : 12,891.66 = 5,150 : x
  2. Step 2: Convert to fraction form
    9,341.78/12,891.66 = 5,150/x
  3. Step 3: Cross multiply
    9,341.78x = 12,891.66 × 5,150
  4. Step 4: Simplify right side
    9,341.78x = 66,392,049
  5. Step 5: Solve for x
    x = 66,392,049/9,341.78
  6. Step 6: Final answer
    x = 7,107.00

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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.