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Finding the Fourth Proportional to 3,191.76, 4,779 and 2,667.60

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Solution

The fourth proportional to 3,191.76, 4,779 and 2,667.60 is: 3,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.76 : 4,779 = 2,667.60 : x
  2. Step 2: Convert to fraction form
    3,191.76/4,779 = 2,667.60/x
  3. Step 3: Cross multiply
    3,191.76x = 4,779 × 2,667.60
  4. Step 4: Simplify right side
    3,191.76x = 12,748,460.40
  5. Step 5: Solve for x
    x = 12,748,460.40/3,191.76
  6. Step 6: Final answer
    x = 3,994.18

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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.