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Finding the Fourth Proportional to 9,109.22, 13,665.99 and 2,869.22

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Solution

The fourth proportional to 9,109.22, 13,665.99 and 2,869.22 is: 4,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.22 : 13,665.99 = 2,869.22 : x
  2. Step 2: Convert to fraction form
    9,109.22/13,665.99 = 2,869.22/x
  3. Step 3: Cross multiply
    9,109.22x = 13,665.99 × 2,869.22
  4. Step 4: Simplify right side
    9,109.22x = 39,210,731.83
  5. Step 5: Solve for x
    x = 39,210,731.83/9,109.22
  6. Step 6: Final answer
    x = 4,304.51

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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.