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Finding the Fourth Proportional to 21,479.84, 32,226 and 9,630.98

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Solution

The fourth proportional to 21,479.84, 32,226 and 9,630.98 is: 14,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,479.84 : 32,226 = 9,630.98 : x
  2. Step 2: Convert to fraction form
    21,479.84/32,226 = 9,630.98/x
  3. Step 3: Cross multiply
    21,479.84x = 32,226 × 9,630.98
  4. Step 4: Simplify right side
    21,479.84x = 310,367,961.48
  5. Step 5: Solve for x
    x = 310,367,961.48/21,479.84
  6. Step 6: Final answer
    x = 14,449.27

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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.