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Finding the Fourth Proportional to 12,266.16, 18,399 and 3,501

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Solution

The fourth proportional to 12,266.16, 18,399 and 3,501 is: 5,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.16 : 18,399 = 3,501 : x
  2. Step 2: Convert to fraction form
    12,266.16/18,399 = 3,501/x
  3. Step 3: Cross multiply
    12,266.16x = 18,399 × 3,501
  4. Step 4: Simplify right side
    12,266.16x = 64,414,899
  5. Step 5: Solve for x
    x = 64,414,899/12,266.16
  6. Step 6: Final answer
    x = 5,251.43

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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.