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Finding the Fourth Proportional to 2,107.65, 3,162.30 and 874.75

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Solution

The fourth proportional to 2,107.65, 3,162.30 and 874.75 is: 1,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.65 : 3,162.30 = 874.75 : x
  2. Step 2: Convert to fraction form
    2,107.65/3,162.30 = 874.75/x
  3. Step 3: Cross multiply
    2,107.65x = 3,162.30 × 874.75
  4. Step 4: Simplify right side
    2,107.65x = 2,766,221.93
  5. Step 5: Solve for x
    x = 2,766,221.93/2,107.65
  6. Step 6: Final answer
    x = 1,312.47

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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.