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Finding the Fourth Proportional to 1,856.78, 2,779.70 and 1,371.99

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Solution

The fourth proportional to 1,856.78, 2,779.70 and 1,371.99 is: 2,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.78 : 2,779.70 = 1,371.99 : x
  2. Step 2: Convert to fraction form
    1,856.78/2,779.70 = 1,371.99/x
  3. Step 3: Cross multiply
    1,856.78x = 2,779.70 × 1,371.99
  4. Step 4: Simplify right side
    1,856.78x = 3,813,713.74
  5. Step 5: Solve for x
    x = 3,813,713.74/1,856.78
  6. Step 6: Final answer
    x = 2,053.95

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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.