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Finding the Fourth Proportional to 2,667.25, 4,001.64 and 912.66

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Solution

The fourth proportional to 2,667.25, 4,001.64 and 912.66 is: 1,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.25 : 4,001.64 = 912.66 : x
  2. Step 2: Convert to fraction form
    2,667.25/4,001.64 = 912.66/x
  3. Step 3: Cross multiply
    2,667.25x = 4,001.64 × 912.66
  4. Step 4: Simplify right side
    2,667.25x = 3,652,136.76
  5. Step 5: Solve for x
    x = 3,652,136.76/2,667.25
  6. Step 6: Final answer
    x = 1,369.25

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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.