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Finding the Fourth Proportional to 1,854.84, 2,779.85 and 1,388.95

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Solution

The fourth proportional to 1,854.84, 2,779.85 and 1,388.95 is: 2,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.84 : 2,779.85 = 1,388.95 : x
  2. Step 2: Convert to fraction form
    1,854.84/2,779.85 = 1,388.95/x
  3. Step 3: Cross multiply
    1,854.84x = 2,779.85 × 1,388.95
  4. Step 4: Simplify right side
    1,854.84x = 3,861,072.66
  5. Step 5: Solve for x
    x = 3,861,072.66/1,854.84
  6. Step 6: Final answer
    x = 2,081.62

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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.