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Finding the Fourth Proportional to 5,521, 8,281.68 and 2,443

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Solution

The fourth proportional to 5,521, 8,281.68 and 2,443 is: 3,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521 : 8,281.68 = 2,443 : x
  2. Step 2: Convert to fraction form
    5,521/8,281.68 = 2,443/x
  3. Step 3: Cross multiply
    5,521x = 8,281.68 × 2,443
  4. Step 4: Simplify right side
    5,521x = 20,232,144.24
  5. Step 5: Solve for x
    x = 20,232,144.24/5,521
  6. Step 6: Final answer
    x = 3,664.58

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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.