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Finding the Fourth Proportional to 5,990, 8,266.20 and 3,506

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Solution

The fourth proportional to 5,990, 8,266.20 and 3,506 is: 4,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990 : 8,266.20 = 3,506 : x
  2. Step 2: Convert to fraction form
    5,990/8,266.20 = 3,506/x
  3. Step 3: Cross multiply
    5,990x = 8,266.20 × 3,506
  4. Step 4: Simplify right side
    5,990x = 28,981,297.20
  5. Step 5: Solve for x
    x = 28,981,297.20/5,990
  6. Step 6: Final answer
    x = 4,838.28

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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.