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Finding the Fourth Proportional to 1,948.92, 2,920.48 and 1,900.62

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Solution

The fourth proportional to 1,948.92, 2,920.48 and 1,900.62 is: 2,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.92 : 2,920.48 = 1,900.62 : x
  2. Step 2: Convert to fraction form
    1,948.92/2,920.48 = 1,900.62/x
  3. Step 3: Cross multiply
    1,948.92x = 2,920.48 × 1,900.62
  4. Step 4: Simplify right side
    1,948.92x = 5,550,722.70
  5. Step 5: Solve for x
    x = 5,550,722.70/1,948.92
  6. Step 6: Final answer
    x = 2,848.10

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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.