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Finding the Fourth Proportional to 9,032.96, 13,512 and 8,480

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Solution

The fourth proportional to 9,032.96, 13,512 and 8,480 is: 12,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.96 : 13,512 = 8,480 : x
  2. Step 2: Convert to fraction form
    9,032.96/13,512 = 8,480/x
  3. Step 3: Cross multiply
    9,032.96x = 13,512 × 8,480
  4. Step 4: Simplify right side
    9,032.96x = 114,581,760
  5. Step 5: Solve for x
    x = 114,581,760/9,032.96
  6. Step 6: Final answer
    x = 12,684.85

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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.