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Finding the Fourth Proportional to 3,589.06, 4,955.31 and 3,209.76

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Solution

The fourth proportional to 3,589.06, 4,955.31 and 3,209.76 is: 4,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.06 : 4,955.31 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    3,589.06/4,955.31 = 3,209.76/x
  3. Step 3: Cross multiply
    3,589.06x = 4,955.31 × 3,209.76
  4. Step 4: Simplify right side
    3,589.06x = 15,905,355.83
  5. Step 5: Solve for x
    x = 15,905,355.83/3,589.06
  6. Step 6: Final answer
    x = 4,431.62

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1.5x scale

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.