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Finding the Fourth Proportional to 1,397.50, 1,927.75 and 872.62

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Solution

The fourth proportional to 1,397.50, 1,927.75 and 872.62 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.50 : 1,927.75 = 872.62 : x
  2. Step 2: Convert to fraction form
    1,397.50/1,927.75 = 872.62/x
  3. Step 3: Cross multiply
    1,397.50x = 1,927.75 × 872.62
  4. Step 4: Simplify right side
    1,397.50x = 1,682,191.02
  5. Step 5: Solve for x
    x = 1,682,191.02/1,397.50
  6. Step 6: Final answer
    x = 1,203.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.