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Finding the Fourth Proportional to 13,266, 18,306.77 and 7,297.62

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Solution

The fourth proportional to 13,266, 18,306.77 and 7,297.62 is: 10,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266 : 18,306.77 = 7,297.62 : x
  2. Step 2: Convert to fraction form
    13,266/18,306.77 = 7,297.62/x
  3. Step 3: Cross multiply
    13,266x = 18,306.77 × 7,297.62
  4. Step 4: Simplify right side
    13,266x = 133,595,850.89
  5. Step 5: Solve for x
    x = 133,595,850.89/13,266
  6. Step 6: Final answer
    x = 10,070.55

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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.