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Finding the Fourth Proportional to 12,268.16, 18,402 and 3,503

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Solution

The fourth proportional to 12,268.16, 18,402 and 3,503 is: 5,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.16 : 18,402 = 3,503 : x
  2. Step 2: Convert to fraction form
    12,268.16/18,402 = 3,503/x
  3. Step 3: Cross multiply
    12,268.16x = 18,402 × 3,503
  4. Step 4: Simplify right side
    12,268.16x = 64,462,206
  5. Step 5: Solve for x
    x = 64,462,206/12,268.16
  6. Step 6: Final answer
    x = 5,254.43

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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.