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Finding the Fourth Proportional to 2,860, 4,291.28 and 1,872.48

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Solution

The fourth proportional to 2,860, 4,291.28 and 1,872.48 is: 2,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 4,291.28 = 1,872.48 : x
  2. Step 2: Convert to fraction form
    2,860/4,291.28 = 1,872.48/x
  3. Step 3: Cross multiply
    2,860x = 4,291.28 × 1,872.48
  4. Step 4: Simplify right side
    2,860x = 8,035,335.97
  5. Step 5: Solve for x
    x = 8,035,335.97/2,860
  6. Step 6: Final answer
    x = 2,809.56

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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.