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Finding the Fourth Proportional to 3,885.16, 5,827.62 and 1,111.84

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Solution

The fourth proportional to 3,885.16, 5,827.62 and 1,111.84 is: 1,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.16 : 5,827.62 = 1,111.84 : x
  2. Step 2: Convert to fraction form
    3,885.16/5,827.62 = 1,111.84/x
  3. Step 3: Cross multiply
    3,885.16x = 5,827.62 × 1,111.84
  4. Step 4: Simplify right side
    3,885.16x = 6,479,381.02
  5. Step 5: Solve for x
    x = 6,479,381.02/3,885.16
  6. Step 6: Final answer
    x = 1,667.73

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.