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Finding the Fourth Proportional to 2,890, 3,989.16 and 1,842.76

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Solution

The fourth proportional to 2,890, 3,989.16 and 1,842.76 is: 2,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 3,989.16 = 1,842.76 : x
  2. Step 2: Convert to fraction form
    2,890/3,989.16 = 1,842.76/x
  3. Step 3: Cross multiply
    2,890x = 3,989.16 × 1,842.76
  4. Step 4: Simplify right side
    2,890x = 7,351,064.48
  5. Step 5: Solve for x
    x = 7,351,064.48/2,890
  6. Step 6: Final answer
    x = 2,543.62

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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.