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Finding the Fourth Proportional to 2,747.31, 4,120.53 and 898.41

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Solution

The fourth proportional to 2,747.31, 4,120.53 and 898.41 is: 1,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.31 : 4,120.53 = 898.41 : x
  2. Step 2: Convert to fraction form
    2,747.31/4,120.53 = 898.41/x
  3. Step 3: Cross multiply
    2,747.31x = 4,120.53 × 898.41
  4. Step 4: Simplify right side
    2,747.31x = 3,701,900.26
  5. Step 5: Solve for x
    x = 3,701,900.26/2,747.31
  6. Step 6: Final answer
    x = 1,347.47

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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.