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Finding the Fourth Proportional to 2,862.12, 4,293 and 1,707

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Solution

The fourth proportional to 2,862.12, 4,293 and 1,707 is: 2,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.12 : 4,293 = 1,707 : x
  2. Step 2: Convert to fraction form
    2,862.12/4,293 = 1,707/x
  3. Step 3: Cross multiply
    2,862.12x = 4,293 × 1,707
  4. Step 4: Simplify right side
    2,862.12x = 7,328,151
  5. Step 5: Solve for x
    x = 7,328,151/2,862.12
  6. Step 6: Final answer
    x = 2,560.39

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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.