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Finding the Fourth Proportional to 2,866.96, 4,293.96 and 2,290.24

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Solution

The fourth proportional to 2,866.96, 4,293.96 and 2,290.24 is: 3,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.96 : 4,293.96 = 2,290.24 : x
  2. Step 2: Convert to fraction form
    2,866.96/4,293.96 = 2,290.24/x
  3. Step 3: Cross multiply
    2,866.96x = 4,293.96 × 2,290.24
  4. Step 4: Simplify right side
    2,866.96x = 9,834,198.95
  5. Step 5: Solve for x
    x = 9,834,198.95/2,866.96
  6. Step 6: Final answer
    x = 3,430.18

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1.5x scale

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.