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Finding the Fourth Proportional to 7,173.02, 9,897.85 and 4,186.69

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Solution

The fourth proportional to 7,173.02, 9,897.85 and 4,186.69 is: 5,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.02 : 9,897.85 = 4,186.69 : x
  2. Step 2: Convert to fraction form
    7,173.02/9,897.85 = 4,186.69/x
  3. Step 3: Cross multiply
    7,173.02x = 9,897.85 × 4,186.69
  4. Step 4: Simplify right side
    7,173.02x = 41,439,229.62
  5. Step 5: Solve for x
    x = 41,439,229.62/7,173.02
  6. Step 6: Final answer
    x = 5,777.10

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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.