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Finding the Fourth Proportional to 8,200.70, 11,308.02 and 5,543.50

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Solution

The fourth proportional to 8,200.70, 11,308.02 and 5,543.50 is: 7,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.70 : 11,308.02 = 5,543.50 : x
  2. Step 2: Convert to fraction form
    8,200.70/11,308.02 = 5,543.50/x
  3. Step 3: Cross multiply
    8,200.70x = 11,308.02 × 5,543.50
  4. Step 4: Simplify right side
    8,200.70x = 62,686,008.87
  5. Step 5: Solve for x
    x = 62,686,008.87/8,200.70
  6. Step 6: Final answer
    x = 7,643.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.