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Finding the Fourth Proportional to 2,995.92, 4,132.68 and 1,890

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Solution

The fourth proportional to 2,995.92, 4,132.68 and 1,890 is: 2,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.92 : 4,132.68 = 1,890 : x
  2. Step 2: Convert to fraction form
    2,995.92/4,132.68 = 1,890/x
  3. Step 3: Cross multiply
    2,995.92x = 4,132.68 × 1,890
  4. Step 4: Simplify right side
    2,995.92x = 7,810,765.20
  5. Step 5: Solve for x
    x = 7,810,765.20/2,995.92
  6. Step 6: Final answer
    x = 2,607.13

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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.