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Finding the Fourth Proportional to 5,510.56, 8,266.64 and 2,000.80

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Solution

The fourth proportional to 5,510.56, 8,266.64 and 2,000.80 is: 3,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.56 : 8,266.64 = 2,000.80 : x
  2. Step 2: Convert to fraction form
    5,510.56/8,266.64 = 2,000.80/x
  3. Step 3: Cross multiply
    5,510.56x = 8,266.64 × 2,000.80
  4. Step 4: Simplify right side
    5,510.56x = 16,539,893.31
  5. Step 5: Solve for x
    x = 16,539,893.31/5,510.56
  6. Step 6: Final answer
    x = 3,001.49

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Half scale
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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.