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Finding the Fourth Proportional to 5,871, 8,101.80 and 3,218.34

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Solution

The fourth proportional to 5,871, 8,101.80 and 3,218.34 is: 4,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871 : 8,101.80 = 3,218.34 : x
  2. Step 2: Convert to fraction form
    5,871/8,101.80 = 3,218.34/x
  3. Step 3: Cross multiply
    5,871x = 8,101.80 × 3,218.34
  4. Step 4: Simplify right side
    5,871x = 26,074,347.01
  5. Step 5: Solve for x
    x = 26,074,347.01/5,871
  6. Step 6: Final answer
    x = 4,441.21

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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.