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Finding the Fourth Proportional to 21,603, 32,414.28 and 12,369

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Solution

The fourth proportional to 21,603, 32,414.28 and 12,369 is: 18,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603 : 32,414.28 = 12,369 : x
  2. Step 2: Convert to fraction form
    21,603/32,414.28 = 12,369/x
  3. Step 3: Cross multiply
    21,603x = 32,414.28 × 12,369
  4. Step 4: Simplify right side
    21,603x = 400,932,229.32
  5. Step 5: Solve for x
    x = 400,932,229.32/21,603
  6. Step 6: Final answer
    x = 18,559.10

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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.