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Finding the Fourth Proportional to 16,805.50, 25,210.98 and 5,116

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Solution

The fourth proportional to 16,805.50, 25,210.98 and 5,116 is: 7,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.50 : 25,210.98 = 5,116 : x
  2. Step 2: Convert to fraction form
    16,805.50/25,210.98 = 5,116/x
  3. Step 3: Cross multiply
    16,805.50x = 25,210.98 × 5,116
  4. Step 4: Simplify right side
    16,805.50x = 128,979,373.68
  5. Step 5: Solve for x
    x = 128,979,373.68/16,805.50
  6. Step 6: Final answer
    x = 7,674.83

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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.