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Finding the Fourth Proportional to 21,690.44, 32,509 and 12,338.24

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Solution

The fourth proportional to 21,690.44, 32,509 and 12,338.24 is: 18,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.44 : 32,509 = 12,338.24 : x
  2. Step 2: Convert to fraction form
    21,690.44/32,509 = 12,338.24/x
  3. Step 3: Cross multiply
    21,690.44x = 32,509 × 12,338.24
  4. Step 4: Simplify right side
    21,690.44x = 401,103,844.16
  5. Step 5: Solve for x
    x = 401,103,844.16/21,690.44
  6. Step 6: Final answer
    x = 18,492.19

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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.