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Finding the Fourth Proportional to 10,805.50, 16,208.25 and 3,509.50

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Solution

The fourth proportional to 10,805.50, 16,208.25 and 3,509.50 is: 5,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.50 : 16,208.25 = 3,509.50 : x
  2. Step 2: Convert to fraction form
    10,805.50/16,208.25 = 3,509.50/x
  3. Step 3: Cross multiply
    10,805.50x = 16,208.25 × 3,509.50
  4. Step 4: Simplify right side
    10,805.50x = 56,882,853.38
  5. Step 5: Solve for x
    x = 56,882,853.38/10,805.50
  6. Step 6: Final answer
    x = 5,264.25

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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.