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Finding the Fourth Proportional to 5,990, 8,268.36 and 3,506

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Solution

The fourth proportional to 5,990, 8,268.36 and 3,506 is: 4,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990 : 8,268.36 = 3,506 : x
  2. Step 2: Convert to fraction form
    5,990/8,268.36 = 3,506/x
  3. Step 3: Cross multiply
    5,990x = 8,268.36 × 3,506
  4. Step 4: Simplify right side
    5,990x = 28,988,870.16
  5. Step 5: Solve for x
    x = 28,988,870.16/5,990
  6. Step 6: Final answer
    x = 4,839.54

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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.