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Finding the Fourth Proportional to 7,174.47, 9,901.43 and 4,191.27

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Solution

The fourth proportional to 7,174.47, 9,901.43 and 4,191.27 is: 5,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.47 : 9,901.43 = 4,191.27 : x
  2. Step 2: Convert to fraction form
    7,174.47/9,901.43 = 4,191.27/x
  3. Step 3: Cross multiply
    7,174.47x = 9,901.43 × 4,191.27
  4. Step 4: Simplify right side
    7,174.47x = 41,499,566.52
  5. Step 5: Solve for x
    x = 41,499,566.52/7,174.47
  6. Step 6: Final answer
    x = 5,784.34

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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.