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Finding the Fourth Proportional to 3,167.64, 4,368.74 and 1,986.66

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Solution

The fourth proportional to 3,167.64, 4,368.74 and 1,986.66 is: 2,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.64 : 4,368.74 = 1,986.66 : x
  2. Step 2: Convert to fraction form
    3,167.64/4,368.74 = 1,986.66/x
  3. Step 3: Cross multiply
    3,167.64x = 4,368.74 × 1,986.66
  4. Step 4: Simplify right side
    3,167.64x = 8,679,191.08
  5. Step 5: Solve for x
    x = 8,679,191.08/3,167.64
  6. Step 6: Final answer
    x = 2,739.96

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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.