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Finding the Fourth Proportional to 2,898.59, 4,348.49 and 1,438.56

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Solution

The fourth proportional to 2,898.59, 4,348.49 and 1,438.56 is: 2,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.59 : 4,348.49 = 1,438.56 : x
  2. Step 2: Convert to fraction form
    2,898.59/4,348.49 = 1,438.56/x
  3. Step 3: Cross multiply
    2,898.59x = 4,348.49 × 1,438.56
  4. Step 4: Simplify right side
    2,898.59x = 6,255,556.58
  5. Step 5: Solve for x
    x = 6,255,556.58/2,898.59
  6. Step 6: Final answer
    x = 2,158.14

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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.