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Finding the Fourth Proportional to 1,833.80, 2,752.02 and 738.46

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Solution

The fourth proportional to 1,833.80, 2,752.02 and 738.46 is: 1,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.80 : 2,752.02 = 738.46 : x
  2. Step 2: Convert to fraction form
    1,833.80/2,752.02 = 738.46/x
  3. Step 3: Cross multiply
    1,833.80x = 2,752.02 × 738.46
  4. Step 4: Simplify right side
    1,833.80x = 2,032,256.69
  5. Step 5: Solve for x
    x = 2,032,256.69/1,833.80
  6. Step 6: Final answer
    x = 1,108.22

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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.