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Finding the Fourth Proportional to 9,111.73, 13,667.22 and 2,876.22

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Solution

The fourth proportional to 9,111.73, 13,667.22 and 2,876.22 is: 4,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.73 : 13,667.22 = 2,876.22 : x
  2. Step 2: Convert to fraction form
    9,111.73/13,667.22 = 2,876.22/x
  3. Step 3: Cross multiply
    9,111.73x = 13,667.22 × 2,876.22
  4. Step 4: Simplify right side
    9,111.73x = 39,309,931.51
  5. Step 5: Solve for x
    x = 39,309,931.51/9,111.73
  6. Step 6: Final answer
    x = 4,314.21

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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.