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Finding the Fourth Proportional to 10,604.02, 15,905.99 and 2,812.90

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Solution

The fourth proportional to 10,604.02, 15,905.99 and 2,812.90 is: 4,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.02 : 15,905.99 = 2,812.90 : x
  2. Step 2: Convert to fraction form
    10,604.02/15,905.99 = 2,812.90/x
  3. Step 3: Cross multiply
    10,604.02x = 15,905.99 × 2,812.90
  4. Step 4: Simplify right side
    10,604.02x = 44,741,959.27
  5. Step 5: Solve for x
    x = 44,741,959.27/10,604.02
  6. Step 6: Final answer
    x = 4,219.34

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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.