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Finding the Fourth Proportional to 1,793.80, 2,475.50 and 1,085.77

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Solution

The fourth proportional to 1,793.80, 2,475.50 and 1,085.77 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.80 : 2,475.50 = 1,085.77 : x
  2. Step 2: Convert to fraction form
    1,793.80/2,475.50 = 1,085.77/x
  3. Step 3: Cross multiply
    1,793.80x = 2,475.50 × 1,085.77
  4. Step 4: Simplify right side
    1,793.80x = 2,687,834.37
  5. Step 5: Solve for x
    x = 2,687,834.37/1,793.80
  6. Step 6: Final answer
    x = 1,498.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.