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Finding the Fourth Proportional to 8,696.40, 13,054.20 and 8,132.40

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Solution

The fourth proportional to 8,696.40, 13,054.20 and 8,132.40 is: 12,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.40 : 13,054.20 = 8,132.40 : x
  2. Step 2: Convert to fraction form
    8,696.40/13,054.20 = 8,132.40/x
  3. Step 3: Cross multiply
    8,696.40x = 13,054.20 × 8,132.40
  4. Step 4: Simplify right side
    8,696.40x = 106,161,976.08
  5. Step 5: Solve for x
    x = 106,161,976.08/8,696.40
  6. Step 6: Final answer
    x = 12,207.58

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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.