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Finding the Fourth Proportional to 1,838.79, 2,757.07 and 741.87

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Solution

The fourth proportional to 1,838.79, 2,757.07 and 741.87 is: 1,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.79 : 2,757.07 = 741.87 : x
  2. Step 2: Convert to fraction form
    1,838.79/2,757.07 = 741.87/x
  3. Step 3: Cross multiply
    1,838.79x = 2,757.07 × 741.87
  4. Step 4: Simplify right side
    1,838.79x = 2,045,385.67
  5. Step 5: Solve for x
    x = 2,045,385.67/1,838.79
  6. Step 6: Final answer
    x = 1,112.35

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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.