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Finding the Fourth Proportional to 1,838.61, 2,757.61 and 539.77

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Solution

The fourth proportional to 1,838.61, 2,757.61 and 539.77 is: 809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.61 : 2,757.61 = 539.77 : x
  2. Step 2: Convert to fraction form
    1,838.61/2,757.61 = 539.77/x
  3. Step 3: Cross multiply
    1,838.61x = 2,757.61 × 539.77
  4. Step 4: Simplify right side
    1,838.61x = 1,488,475.15
  5. Step 5: Solve for x
    x = 1,488,475.15/1,838.61
  6. Step 6: Final answer
    x = 809.57

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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.