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Finding the Fourth Proportional to 7,714.80, 10,645.92 and 4,920

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Solution

The fourth proportional to 7,714.80, 10,645.92 and 4,920 is: 6,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.80 : 10,645.92 = 4,920 : x
  2. Step 2: Convert to fraction form
    7,714.80/10,645.92 = 4,920/x
  3. Step 3: Cross multiply
    7,714.80x = 10,645.92 × 4,920
  4. Step 4: Simplify right side
    7,714.80x = 52,377,926.40
  5. Step 5: Solve for x
    x = 52,377,926.40/7,714.80
  6. Step 6: Final answer
    x = 6,789.28

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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.