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Finding the Fourth Proportional to 9,394.78, 12,965.20 and 5,203.04

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Solution

The fourth proportional to 9,394.78, 12,965.20 and 5,203.04 is: 7,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.78 : 12,965.20 = 5,203.04 : x
  2. Step 2: Convert to fraction form
    9,394.78/12,965.20 = 5,203.04/x
  3. Step 3: Cross multiply
    9,394.78x = 12,965.20 × 5,203.04
  4. Step 4: Simplify right side
    9,394.78x = 67,458,454.21
  5. Step 5: Solve for x
    x = 67,458,454.21/9,394.78
  6. Step 6: Final answer
    x = 7,180.42

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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.