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Finding the Fourth Proportional to 10,995.50, 16,493.25 and 2,787.50

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Solution

The fourth proportional to 10,995.50, 16,493.25 and 2,787.50 is: 4,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.50 : 16,493.25 = 2,787.50 : x
  2. Step 2: Convert to fraction form
    10,995.50/16,493.25 = 2,787.50/x
  3. Step 3: Cross multiply
    10,995.50x = 16,493.25 × 2,787.50
  4. Step 4: Simplify right side
    10,995.50x = 45,974,934.38
  5. Step 5: Solve for x
    x = 45,974,934.38/10,995.50
  6. Step 6: Final answer
    x = 4,181.25

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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.