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Finding the Fourth Proportional to 1,838.84, 2,742.73 and 1,542.87

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Solution

The fourth proportional to 1,838.84, 2,742.73 and 1,542.87 is: 2,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.84 : 2,742.73 = 1,542.87 : x
  2. Step 2: Convert to fraction form
    1,838.84/2,742.73 = 1,542.87/x
  3. Step 3: Cross multiply
    1,838.84x = 2,742.73 × 1,542.87
  4. Step 4: Simplify right side
    1,838.84x = 4,231,671.98
  5. Step 5: Solve for x
    x = 4,231,671.98/1,838.84
  6. Step 6: Final answer
    x = 2,301.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.