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Finding the Fourth Proportional to 10,653.92, 15,982.80 and 4,813.28

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Solution

The fourth proportional to 10,653.92, 15,982.80 and 4,813.28 is: 7,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.92 : 15,982.80 = 4,813.28 : x
  2. Step 2: Convert to fraction form
    10,653.92/15,982.80 = 4,813.28/x
  3. Step 3: Cross multiply
    10,653.92x = 15,982.80 × 4,813.28
  4. Step 4: Simplify right side
    10,653.92x = 76,929,691.58
  5. Step 5: Solve for x
    x = 76,929,691.58/10,653.92
  6. Step 6: Final answer
    x = 7,220.79

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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.