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Finding the Fourth Proportional to 1,518, 2,093.79 and 928.83

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Solution

The fourth proportional to 1,518, 2,093.79 and 928.83 is: 1,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518 : 2,093.79 = 928.83 : x
  2. Step 2: Convert to fraction form
    1,518/2,093.79 = 928.83/x
  3. Step 3: Cross multiply
    1,518x = 2,093.79 × 928.83
  4. Step 4: Simplify right side
    1,518x = 1,944,759.85
  5. Step 5: Solve for x
    x = 1,944,759.85/1,518
  6. Step 6: Final answer
    x = 1,281.13

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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.