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Finding the Fourth Proportional to 21,482, 32,232.55 and 8,335.38

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Solution

The fourth proportional to 21,482, 32,232.55 and 8,335.38 is: 12,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482 : 32,232.55 = 8,335.38 : x
  2. Step 2: Convert to fraction form
    21,482/32,232.55 = 8,335.38/x
  3. Step 3: Cross multiply
    21,482x = 32,232.55 × 8,335.38
  4. Step 4: Simplify right side
    21,482x = 268,670,552.62
  5. Step 5: Solve for x
    x = 268,670,552.62/21,482
  6. Step 6: Final answer
    x = 12,506.78

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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.