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Finding the Fourth Proportional to 6,871, 9,481.98 and 3,886.77

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Solution

The fourth proportional to 6,871, 9,481.98 and 3,886.77 is: 5,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 9,481.98 = 3,886.77 : x
  2. Step 2: Convert to fraction form
    6,871/9,481.98 = 3,886.77/x
  3. Step 3: Cross multiply
    6,871x = 9,481.98 × 3,886.77
  4. Step 4: Simplify right side
    6,871x = 36,854,275.40
  5. Step 5: Solve for x
    x = 36,854,275.40/6,871
  6. Step 6: Final answer
    x = 5,363.74

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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.