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Finding the Fourth Proportional to 7,821.99, 11,732.90 and 3,143.19

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Solution

The fourth proportional to 7,821.99, 11,732.90 and 3,143.19 is: 4,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.99 : 11,732.90 = 3,143.19 : x
  2. Step 2: Convert to fraction form
    7,821.99/11,732.90 = 3,143.19/x
  3. Step 3: Cross multiply
    7,821.99x = 11,732.90 × 3,143.19
  4. Step 4: Simplify right side
    7,821.99x = 36,878,718.24
  5. Step 5: Solve for x
    x = 36,878,718.24/7,821.99
  6. Step 6: Final answer
    x = 4,714.75

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Similar ratio
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1.5x scale

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.