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Finding the Fourth Proportional to 2,898.72, 4,347.92 and 818.80

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Solution

The fourth proportional to 2,898.72, 4,347.92 and 818.80 is: 1,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.72 : 4,347.92 = 818.80 : x
  2. Step 2: Convert to fraction form
    2,898.72/4,347.92 = 818.80/x
  3. Step 3: Cross multiply
    2,898.72x = 4,347.92 × 818.80
  4. Step 4: Simplify right side
    2,898.72x = 3,560,076.90
  5. Step 5: Solve for x
    x = 3,560,076.90/2,898.72
  6. Step 6: Final answer
    x = 1,228.15

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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.