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Finding the Fourth Proportional to 2,862, 4,290.96 and 1,301.22

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Solution

The fourth proportional to 2,862, 4,290.96 and 1,301.22 is: 1,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862 : 4,290.96 = 1,301.22 : x
  2. Step 2: Convert to fraction form
    2,862/4,290.96 = 1,301.22/x
  3. Step 3: Cross multiply
    2,862x = 4,290.96 × 1,301.22
  4. Step 4: Simplify right side
    2,862x = 5,583,482.97
  5. Step 5: Solve for x
    x = 5,583,482.97/2,862
  6. Step 6: Final answer
    x = 1,950.90

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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.