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Finding the Fourth Proportional to 2,899.22, 4,339.65 and 1,857.83

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Solution

The fourth proportional to 2,899.22, 4,339.65 and 1,857.83 is: 2,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.22 : 4,339.65 = 1,857.83 : x
  2. Step 2: Convert to fraction form
    2,899.22/4,339.65 = 1,857.83/x
  3. Step 3: Cross multiply
    2,899.22x = 4,339.65 × 1,857.83
  4. Step 4: Simplify right side
    2,899.22x = 8,062,331.96
  5. Step 5: Solve for x
    x = 8,062,331.96/2,899.22
  6. Step 6: Final answer
    x = 2,780.86

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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.