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Finding the Fourth Proportional to 2,187.42, 3,283 and 955.82

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Solution

The fourth proportional to 2,187.42, 3,283 and 955.82 is: 1,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.42 : 3,283 = 955.82 : x
  2. Step 2: Convert to fraction form
    2,187.42/3,283 = 955.82/x
  3. Step 3: Cross multiply
    2,187.42x = 3,283 × 955.82
  4. Step 4: Simplify right side
    2,187.42x = 3,137,957.06
  5. Step 5: Solve for x
    x = 3,137,957.06/2,187.42
  6. Step 6: Final answer
    x = 1,434.55

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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.