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Finding the Fourth Proportional to 7,221.24, 9,962.10 and 5,653.80

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Solution

The fourth proportional to 7,221.24, 9,962.10 and 5,653.80 is: 7,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.24 : 9,962.10 = 5,653.80 : x
  2. Step 2: Convert to fraction form
    7,221.24/9,962.10 = 5,653.80/x
  3. Step 3: Cross multiply
    7,221.24x = 9,962.10 × 5,653.80
  4. Step 4: Simplify right side
    7,221.24x = 56,323,720.98
  5. Step 5: Solve for x
    x = 56,323,720.98/7,221.24
  6. Step 6: Final answer
    x = 7,799.73

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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.