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Finding the Fourth Proportional to 2,098.86, 2,893 and 1,677.86

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Solution

The fourth proportional to 2,098.86, 2,893 and 1,677.86 is: 2,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.86 : 2,893 = 1,677.86 : x
  2. Step 2: Convert to fraction form
    2,098.86/2,893 = 1,677.86/x
  3. Step 3: Cross multiply
    2,098.86x = 2,893 × 1,677.86
  4. Step 4: Simplify right side
    2,098.86x = 4,854,048.98
  5. Step 5: Solve for x
    x = 4,854,048.98/2,098.86
  6. Step 6: Final answer
    x = 2,312.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.