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Finding the Fourth Proportional to 2,747.50, 4,121.68 and 898.22

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Solution

The fourth proportional to 2,747.50, 4,121.68 and 898.22 is: 1,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.50 : 4,121.68 = 898.22 : x
  2. Step 2: Convert to fraction form
    2,747.50/4,121.68 = 898.22/x
  3. Step 3: Cross multiply
    2,747.50x = 4,121.68 × 898.22
  4. Step 4: Simplify right side
    2,747.50x = 3,702,175.41
  5. Step 5: Solve for x
    x = 3,702,175.41/2,747.50
  6. Step 6: Final answer
    x = 1,347.47

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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.