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Finding the Fourth Proportional to 2,909.50, 4,015.11 and 1,667.50

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Solution

The fourth proportional to 2,909.50, 4,015.11 and 1,667.50 is: 2,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.50 : 4,015.11 = 1,667.50 : x
  2. Step 2: Convert to fraction form
    2,909.50/4,015.11 = 1,667.50/x
  3. Step 3: Cross multiply
    2,909.50x = 4,015.11 × 1,667.50
  4. Step 4: Simplify right side
    2,909.50x = 6,695,195.93
  5. Step 5: Solve for x
    x = 6,695,195.93/2,909.50
  6. Step 6: Final answer
    x = 2,301.15

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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.