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Finding the Fourth Proportional to 21,354.32, 32,007 and 8,199.92

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Solution

The fourth proportional to 21,354.32, 32,007 and 8,199.92 is: 12,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.32 : 32,007 = 8,199.92 : x
  2. Step 2: Convert to fraction form
    21,354.32/32,007 = 8,199.92/x
  3. Step 3: Cross multiply
    21,354.32x = 32,007 × 8,199.92
  4. Step 4: Simplify right side
    21,354.32x = 262,454,839.44
  5. Step 5: Solve for x
    x = 262,454,839.44/21,354.32
  6. Step 6: Final answer
    x = 12,290.48

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1.5x scale

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.