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Finding the Fourth Proportional to 16,776, 25,261.84 and 12,424.32

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Solution

The fourth proportional to 16,776, 25,261.84 and 12,424.32 is: 18,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 25,261.84 = 12,424.32 : x
  2. Step 2: Convert to fraction form
    16,776/25,261.84 = 12,424.32/x
  3. Step 3: Cross multiply
    16,776x = 25,261.84 × 12,424.32
  4. Step 4: Simplify right side
    16,776x = 313,861,183.95
  5. Step 5: Solve for x
    x = 313,861,183.95/16,776
  6. Step 6: Final answer
    x = 18,708.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.