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Finding the Fourth Proportional to 16,409.78, 24,617.10 and 8,619.20

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Solution

The fourth proportional to 16,409.78, 24,617.10 and 8,619.20 is: 12,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.78 : 24,617.10 = 8,619.20 : x
  2. Step 2: Convert to fraction form
    16,409.78/24,617.10 = 8,619.20/x
  3. Step 3: Cross multiply
    16,409.78x = 24,617.10 × 8,619.20
  4. Step 4: Simplify right side
    16,409.78x = 212,179,708.32
  5. Step 5: Solve for x
    x = 212,179,708.32/16,409.78
  6. Step 6: Final answer
    x = 12,930.08

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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.