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Finding the Fourth Proportional to 5,871, 8,102.04 and 3,513.60

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Solution

The fourth proportional to 5,871, 8,102.04 and 3,513.60 is: 4,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871 : 8,102.04 = 3,513.60 : x
  2. Step 2: Convert to fraction form
    5,871/8,102.04 = 3,513.60/x
  3. Step 3: Cross multiply
    5,871x = 8,102.04 × 3,513.60
  4. Step 4: Simplify right side
    5,871x = 28,467,327.74
  5. Step 5: Solve for x
    x = 28,467,327.74/5,871
  6. Step 6: Final answer
    x = 4,848.80

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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.