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Finding the Fourth Proportional to 2,859.78, 4,283.42 and 1,188.84

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Solution

The fourth proportional to 2,859.78, 4,283.42 and 1,188.84 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.78 : 4,283.42 = 1,188.84 : x
  2. Step 2: Convert to fraction form
    2,859.78/4,283.42 = 1,188.84/x
  3. Step 3: Cross multiply
    2,859.78x = 4,283.42 × 1,188.84
  4. Step 4: Simplify right side
    2,859.78x = 5,092,277.52
  5. Step 5: Solve for x
    x = 5,092,277.52/2,859.78
  6. Step 6: Final answer
    x = 1,780.66

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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.