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Finding the Fourth Proportional to 11,200.78, 16,803.72 and 3,410.20

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Solution

The fourth proportional to 11,200.78, 16,803.72 and 3,410.20 is: 5,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.78 : 16,803.72 = 3,410.20 : x
  2. Step 2: Convert to fraction form
    11,200.78/16,803.72 = 3,410.20/x
  3. Step 3: Cross multiply
    11,200.78x = 16,803.72 × 3,410.20
  4. Step 4: Simplify right side
    11,200.78x = 57,304,045.94
  5. Step 5: Solve for x
    x = 57,304,045.94/11,200.78
  6. Step 6: Final answer
    x = 5,116.08

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1.5x scale

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.