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Finding the Fourth Proportional to 9,138.60, 13,707.90 and 3,295.40

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Solution

The fourth proportional to 9,138.60, 13,707.90 and 3,295.40 is: 4,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.60 : 13,707.90 = 3,295.40 : x
  2. Step 2: Convert to fraction form
    9,138.60/13,707.90 = 3,295.40/x
  3. Step 3: Cross multiply
    9,138.60x = 13,707.90 × 3,295.40
  4. Step 4: Simplify right side
    9,138.60x = 45,173,013.66
  5. Step 5: Solve for x
    x = 45,173,013.66/9,138.60
  6. Step 6: Final answer
    x = 4,943.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.