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Finding the Fourth Proportional to 1,217.80, 1,827.15 and 1,172.80

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Solution

The fourth proportional to 1,217.80, 1,827.15 and 1,172.80 is: 1,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.80 : 1,827.15 = 1,172.80 : x
  2. Step 2: Convert to fraction form
    1,217.80/1,827.15 = 1,172.80/x
  3. Step 3: Cross multiply
    1,217.80x = 1,827.15 × 1,172.80
  4. Step 4: Simplify right side
    1,217.80x = 2,142,881.52
  5. Step 5: Solve for x
    x = 2,142,881.52/1,217.80
  6. Step 6: Final answer
    x = 1,759.63

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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.