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Finding the Fourth Proportional to 2,898.78, 4,000.32 and 1,572.42

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Solution

The fourth proportional to 2,898.78, 4,000.32 and 1,572.42 is: 2,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.78 : 4,000.32 = 1,572.42 : x
  2. Step 2: Convert to fraction form
    2,898.78/4,000.32 = 1,572.42/x
  3. Step 3: Cross multiply
    2,898.78x = 4,000.32 × 1,572.42
  4. Step 4: Simplify right side
    2,898.78x = 6,290,183.17
  5. Step 5: Solve for x
    x = 6,290,183.17/2,898.78
  6. Step 6: Final answer
    x = 2,169.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.