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Finding the Fourth Proportional to 8,932, 12,327.60 and 5,205.28

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Solution

The fourth proportional to 8,932, 12,327.60 and 5,205.28 is: 7,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932 : 12,327.60 = 5,205.28 : x
  2. Step 2: Convert to fraction form
    8,932/12,327.60 = 5,205.28/x
  3. Step 3: Cross multiply
    8,932x = 12,327.60 × 5,205.28
  4. Step 4: Simplify right side
    8,932x = 64,168,609.73
  5. Step 5: Solve for x
    x = 64,168,609.73/8,932
  6. Step 6: Final answer
    x = 7,184.13

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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.