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Finding the Fourth Proportional to 2,886.12, 4,326.90 and 1,791

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Solution

The fourth proportional to 2,886.12, 4,326.90 and 1,791 is: 2,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.12 : 4,326.90 = 1,791 : x
  2. Step 2: Convert to fraction form
    2,886.12/4,326.90 = 1,791/x
  3. Step 3: Cross multiply
    2,886.12x = 4,326.90 × 1,791
  4. Step 4: Simplify right side
    2,886.12x = 7,749,477.90
  5. Step 5: Solve for x
    x = 7,749,477.90/2,886.12
  6. Step 6: Final answer
    x = 2,685.09

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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.