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Finding the Fourth Proportional to 8,488.29, 12,734.64 and 3,223.40

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Solution

The fourth proportional to 8,488.29, 12,734.64 and 3,223.40 is: 4,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.29 : 12,734.64 = 3,223.40 : x
  2. Step 2: Convert to fraction form
    8,488.29/12,734.64 = 3,223.40/x
  3. Step 3: Cross multiply
    8,488.29x = 12,734.64 × 3,223.40
  4. Step 4: Simplify right side
    8,488.29x = 41,048,783.97
  5. Step 5: Solve for x
    x = 41,048,783.97/8,488.29
  6. Step 6: Final answer
    x = 4,835.93

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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.