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Finding the Fourth Proportional to 16,965, 25,447.80 and 6,439.92

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Solution

The fourth proportional to 16,965, 25,447.80 and 6,439.92 is: 9,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 25,447.80 = 6,439.92 : x
  2. Step 2: Convert to fraction form
    16,965/25,447.80 = 6,439.92/x
  3. Step 3: Cross multiply
    16,965x = 25,447.80 × 6,439.92
  4. Step 4: Simplify right side
    16,965x = 163,881,796.18
  5. Step 5: Solve for x
    x = 163,881,796.18/16,965
  6. Step 6: Final answer
    x = 9,659.99

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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.