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Finding the Fourth Proportional to 1,857.95, 2,788.11 and 687.83

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Solution

The fourth proportional to 1,857.95, 2,788.11 and 687.83 is: 1,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.95 : 2,788.11 = 687.83 : x
  2. Step 2: Convert to fraction form
    1,857.95/2,788.11 = 687.83/x
  3. Step 3: Cross multiply
    1,857.95x = 2,788.11 × 687.83
  4. Step 4: Simplify right side
    1,857.95x = 1,917,752.67
  5. Step 5: Solve for x
    x = 1,917,752.67/1,857.95
  6. Step 6: Final answer
    x = 1,032.19

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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.