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Finding the Fourth Proportional to 16,944, 25,415.64 and 7,581.84

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Solution

The fourth proportional to 16,944, 25,415.64 and 7,581.84 is: 11,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 25,415.64 = 7,581.84 : x
  2. Step 2: Convert to fraction form
    16,944/25,415.64 = 7,581.84/x
  3. Step 3: Cross multiply
    16,944x = 25,415.64 × 7,581.84
  4. Step 4: Simplify right side
    16,944x = 192,697,315.98
  5. Step 5: Solve for x
    x = 192,697,315.98/16,944
  6. Step 6: Final answer
    x = 11,372.60

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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.