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Finding the Fourth Proportional to 6,355, 8,769.90 and 3,871

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Solution

The fourth proportional to 6,355, 8,769.90 and 3,871 is: 5,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355 : 8,769.90 = 3,871 : x
  2. Step 2: Convert to fraction form
    6,355/8,769.90 = 3,871/x
  3. Step 3: Cross multiply
    6,355x = 8,769.90 × 3,871
  4. Step 4: Simplify right side
    6,355x = 33,948,282.90
  5. Step 5: Solve for x
    x = 33,948,282.90/6,355
  6. Step 6: Final answer
    x = 5,341.98

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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.