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Finding the Fourth Proportional to 8,290.52, 12,432.54 and 3,093.56

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Solution

The fourth proportional to 8,290.52, 12,432.54 and 3,093.56 is: 4,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.52 : 12,432.54 = 3,093.56 : x
  2. Step 2: Convert to fraction form
    8,290.52/12,432.54 = 3,093.56/x
  3. Step 3: Cross multiply
    8,290.52x = 12,432.54 × 3,093.56
  4. Step 4: Simplify right side
    8,290.52x = 38,460,808.44
  5. Step 5: Solve for x
    x = 38,460,808.44/8,290.52
  6. Step 6: Final answer
    x = 4,639.13

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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.