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Finding the Fourth Proportional to 1,855.78, 2,780.09 and 1,031.56

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Solution

The fourth proportional to 1,855.78, 2,780.09 and 1,031.56 is: 1,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.78 : 2,780.09 = 1,031.56 : x
  2. Step 2: Convert to fraction form
    1,855.78/2,780.09 = 1,031.56/x
  3. Step 3: Cross multiply
    1,855.78x = 2,780.09 × 1,031.56
  4. Step 4: Simplify right side
    1,855.78x = 2,867,817.53
  5. Step 5: Solve for x
    x = 2,867,817.53/1,855.78
  6. Step 6: Final answer
    x = 1,545.34

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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.