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Finding the Fourth Proportional to 1,937, 2,671.92 and 1,151

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Solution

The fourth proportional to 1,937, 2,671.92 and 1,151 is: 1,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937 : 2,671.92 = 1,151 : x
  2. Step 2: Convert to fraction form
    1,937/2,671.92 = 1,151/x
  3. Step 3: Cross multiply
    1,937x = 2,671.92 × 1,151
  4. Step 4: Simplify right side
    1,937x = 3,075,379.92
  5. Step 5: Solve for x
    x = 3,075,379.92/1,937
  6. Step 6: Final answer
    x = 1,587.70

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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.