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Finding the Fourth Proportional to 1,287.84, 1,932.34 and 1,178.46

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Solution

The fourth proportional to 1,287.84, 1,932.34 and 1,178.46 is: 1,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.84 : 1,932.34 = 1,178.46 : x
  2. Step 2: Convert to fraction form
    1,287.84/1,932.34 = 1,178.46/x
  3. Step 3: Cross multiply
    1,287.84x = 1,932.34 × 1,178.46
  4. Step 4: Simplify right side
    1,287.84x = 2,277,185.40
  5. Step 5: Solve for x
    x = 2,277,185.40/1,287.84
  6. Step 6: Final answer
    x = 1,768.22

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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.