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Finding the Fourth Proportional to 2,898.39, 3,999.75 and 1,572.06

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Solution

The fourth proportional to 2,898.39, 3,999.75 and 1,572.06 is: 2,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.39 : 3,999.75 = 1,572.06 : x
  2. Step 2: Convert to fraction form
    2,898.39/3,999.75 = 1,572.06/x
  3. Step 3: Cross multiply
    2,898.39x = 3,999.75 × 1,572.06
  4. Step 4: Simplify right side
    2,898.39x = 6,287,856.09
  5. Step 5: Solve for x
    x = 6,287,856.09/2,898.39
  6. Step 6: Final answer
    x = 2,169.43

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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.