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Finding the Fourth Proportional to 2,898.38, 4,347.50 and 818.35

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Solution

The fourth proportional to 2,898.38, 4,347.50 and 818.35 is: 1,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.38 : 4,347.50 = 818.35 : x
  2. Step 2: Convert to fraction form
    2,898.38/4,347.50 = 818.35/x
  3. Step 3: Cross multiply
    2,898.38x = 4,347.50 × 818.35
  4. Step 4: Simplify right side
    2,898.38x = 3,557,787.65
  5. Step 5: Solve for x
    x = 3,557,787.65/2,898.38
  6. Step 6: Final answer
    x = 1,227.51

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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.