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Finding the Fourth Proportional to 2,439.94, 3,656.07 and 1,886

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Solution

The fourth proportional to 2,439.94, 3,656.07 and 1,886 is: 2,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.94 : 3,656.07 = 1,886 : x
  2. Step 2: Convert to fraction form
    2,439.94/3,656.07 = 1,886/x
  3. Step 3: Cross multiply
    2,439.94x = 3,656.07 × 1,886
  4. Step 4: Simplify right side
    2,439.94x = 6,895,348.02
  5. Step 5: Solve for x
    x = 6,895,348.02/2,439.94
  6. Step 6: Final answer
    x = 2,826.04

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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.