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Finding the Fourth Proportional to 2,747.58, 4,122.12 and 898.46

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Solution

The fourth proportional to 2,747.58, 4,122.12 and 898.46 is: 1,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.58 : 4,122.12 = 898.46 : x
  2. Step 2: Convert to fraction form
    2,747.58/4,122.12 = 898.46/x
  3. Step 3: Cross multiply
    2,747.58x = 4,122.12 × 898.46
  4. Step 4: Simplify right side
    2,747.58x = 3,703,534.83
  5. Step 5: Solve for x
    x = 3,703,534.83/2,747.58
  6. Step 6: Final answer
    x = 1,347.93

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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.