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Finding the Fourth Proportional to 1,891.86, 2,834.14 and 1,545.58

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Solution

The fourth proportional to 1,891.86, 2,834.14 and 1,545.58 is: 2,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.86 : 2,834.14 = 1,545.58 : x
  2. Step 2: Convert to fraction form
    1,891.86/2,834.14 = 1,545.58/x
  3. Step 3: Cross multiply
    1,891.86x = 2,834.14 × 1,545.58
  4. Step 4: Simplify right side
    1,891.86x = 4,380,386.24
  5. Step 5: Solve for x
    x = 4,380,386.24/1,891.86
  6. Step 6: Final answer
    x = 2,315.39

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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.