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Finding the Fourth Proportional to 22,153.51, 30,575.10 and 13,206.25

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Solution

The fourth proportional to 22,153.51, 30,575.10 and 13,206.25 is: 18,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.51 : 30,575.10 = 13,206.25 : x
  2. Step 2: Convert to fraction form
    22,153.51/30,575.10 = 13,206.25/x
  3. Step 3: Cross multiply
    22,153.51x = 30,575.10 × 13,206.25
  4. Step 4: Simplify right side
    22,153.51x = 403,782,414.38
  5. Step 5: Solve for x
    x = 403,782,414.38/22,153.51
  6. Step 6: Final answer
    x = 18,226.57

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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.