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Finding the Fourth Proportional to 2,898.38, 4,345.11 and 1,971.33

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Solution

The fourth proportional to 2,898.38, 4,345.11 and 1,971.33 is: 2,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.38 : 4,345.11 = 1,971.33 : x
  2. Step 2: Convert to fraction form
    2,898.38/4,345.11 = 1,971.33/x
  3. Step 3: Cross multiply
    2,898.38x = 4,345.11 × 1,971.33
  4. Step 4: Simplify right side
    2,898.38x = 8,565,645.70
  5. Step 5: Solve for x
    x = 8,565,645.70/2,898.38
  6. Step 6: Final answer
    x = 2,955.33

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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.