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Finding the Fourth Proportional to 1,937.92, 2,671.92 and 1,151.68

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Solution

The fourth proportional to 1,937.92, 2,671.92 and 1,151.68 is: 1,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.92 : 2,671.92 = 1,151.68 : x
  2. Step 2: Convert to fraction form
    1,937.92/2,671.92 = 1,151.68/x
  3. Step 3: Cross multiply
    1,937.92x = 2,671.92 × 1,151.68
  4. Step 4: Simplify right side
    1,937.92x = 3,077,196.83
  5. Step 5: Solve for x
    x = 3,077,196.83/1,937.92
  6. Step 6: Final answer
    x = 1,587.89

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