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Finding the Fourth Proportional to 8,480, 12,721.92 and 3,008

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Solution

The fourth proportional to 8,480, 12,721.92 and 3,008 is: 4,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 12,721.92 = 3,008 : x
  2. Step 2: Convert to fraction form
    8,480/12,721.92 = 3,008/x
  3. Step 3: Cross multiply
    8,480x = 12,721.92 × 3,008
  4. Step 4: Simplify right side
    8,480x = 38,267,535.36
  5. Step 5: Solve for x
    x = 38,267,535.36/8,480
  6. Step 6: Final answer
    x = 4,512.68

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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.