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Finding the Fourth Proportional to 7,826, 10,800.84 and 4,514

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Solution

The fourth proportional to 7,826, 10,800.84 and 4,514 is: 6,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826 : 10,800.84 = 4,514 : x
  2. Step 2: Convert to fraction form
    7,826/10,800.84 = 4,514/x
  3. Step 3: Cross multiply
    7,826x = 10,800.84 × 4,514
  4. Step 4: Simplify right side
    7,826x = 48,754,991.76
  5. Step 5: Solve for x
    x = 48,754,991.76/7,826
  6. Step 6: Final answer
    x = 6,229.87

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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.