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Finding the Fourth Proportional to 2,948.92, 4,419.73 and 1,488.49

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Solution

The fourth proportional to 2,948.92, 4,419.73 and 1,488.49 is: 2,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.92 : 4,419.73 = 1,488.49 : x
  2. Step 2: Convert to fraction form
    2,948.92/4,419.73 = 1,488.49/x
  3. Step 3: Cross multiply
    2,948.92x = 4,419.73 × 1,488.49
  4. Step 4: Simplify right side
    2,948.92x = 6,578,723.91
  5. Step 5: Solve for x
    x = 6,578,723.91/2,948.92
  6. Step 6: Final answer
    x = 2,230.89

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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.