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Finding the Fourth Proportional to 2,862.90, 4,293.48 and 1,302

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Solution

The fourth proportional to 2,862.90, 4,293.48 and 1,302 is: 1,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.90 : 4,293.48 = 1,302 : x
  2. Step 2: Convert to fraction form
    2,862.90/4,293.48 = 1,302/x
  3. Step 3: Cross multiply
    2,862.90x = 4,293.48 × 1,302
  4. Step 4: Simplify right side
    2,862.90x = 5,590,110.96
  5. Step 5: Solve for x
    x = 5,590,110.96/2,862.90
  6. Step 6: Final answer
    x = 1,952.60

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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.