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Finding the Fourth Proportional to 8,016.80, 11,063.52 and 4,480

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Solution

The fourth proportional to 8,016.80, 11,063.52 and 4,480 is: 6,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.80 : 11,063.52 = 4,480 : x
  2. Step 2: Convert to fraction form
    8,016.80/11,063.52 = 4,480/x
  3. Step 3: Cross multiply
    8,016.80x = 11,063.52 × 4,480
  4. Step 4: Simplify right side
    8,016.80x = 49,564,569.60
  5. Step 5: Solve for x
    x = 49,564,569.60/8,016.80
  6. Step 6: Final answer
    x = 6,182.59

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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.