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Finding the Fourth Proportional to 1,824.88, 2,737.64 and 785.52

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Solution

The fourth proportional to 1,824.88, 2,737.64 and 785.52 is: 1,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.88 : 2,737.64 = 785.52 : x
  2. Step 2: Convert to fraction form
    1,824.88/2,737.64 = 785.52/x
  3. Step 3: Cross multiply
    1,824.88x = 2,737.64 × 785.52
  4. Step 4: Simplify right side
    1,824.88x = 2,150,470.97
  5. Step 5: Solve for x
    x = 2,150,470.97/1,824.88
  6. Step 6: Final answer
    x = 1,178.42

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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.