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Finding the Fourth Proportional to 21,607.41, 32,424.78 and 8,459.44

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Solution

The fourth proportional to 21,607.41, 32,424.78 and 8,459.44 is: 12,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.41 : 32,424.78 = 8,459.44 : x
  2. Step 2: Convert to fraction form
    21,607.41/32,424.78 = 8,459.44/x
  3. Step 3: Cross multiply
    21,607.41x = 32,424.78 × 8,459.44
  4. Step 4: Simplify right side
    21,607.41x = 274,295,407.79
  5. Step 5: Solve for x
    x = 274,295,407.79/21,607.41
  6. Step 6: Final answer
    x = 12,694.51

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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.