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Finding the Fourth Proportional to 2,862, 4,293.36 and 1,218.24

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Solution

The fourth proportional to 2,862, 4,293.36 and 1,218.24 is: 1,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862 : 4,293.36 = 1,218.24 : x
  2. Step 2: Convert to fraction form
    2,862/4,293.36 = 1,218.24/x
  3. Step 3: Cross multiply
    2,862x = 4,293.36 × 1,218.24
  4. Step 4: Simplify right side
    2,862x = 5,230,342.89
  5. Step 5: Solve for x
    x = 5,230,342.89/2,862
  6. Step 6: Final answer
    x = 1,827.51

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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.