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Finding the Fourth Proportional to 12,211.49, 18,346.40 and 7,837.49

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Solution

The fourth proportional to 12,211.49, 18,346.40 and 7,837.49 is: 11,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.49 : 18,346.40 = 7,837.49 : x
  2. Step 2: Convert to fraction form
    12,211.49/18,346.40 = 7,837.49/x
  3. Step 3: Cross multiply
    12,211.49x = 18,346.40 × 7,837.49
  4. Step 4: Simplify right side
    12,211.49x = 143,789,595.62
  5. Step 5: Solve for x
    x = 143,789,595.62/12,211.49
  6. Step 6: Final answer
    x = 11,774.95

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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.