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Finding the Fourth Proportional to 21,943.82, 32,915.72 and 12,078.02

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Solution

The fourth proportional to 21,943.82, 32,915.72 and 12,078.02 is: 18,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943.82 : 32,915.72 = 12,078.02 : x
  2. Step 2: Convert to fraction form
    21,943.82/32,915.72 = 12,078.02/x
  3. Step 3: Cross multiply
    21,943.82x = 32,915.72 × 12,078.02
  4. Step 4: Simplify right side
    21,943.82x = 397,556,590.09
  5. Step 5: Solve for x
    x = 397,556,590.09/21,943.82
  6. Step 6: Final answer
    x = 18,117.02

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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.