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Finding the Fourth Proportional to 7,148.96, 9,866.53 and 4,165.73

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Solution

The fourth proportional to 7,148.96, 9,866.53 and 4,165.73 is: 5,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.96 : 9,866.53 = 4,165.73 : x
  2. Step 2: Convert to fraction form
    7,148.96/9,866.53 = 4,165.73/x
  3. Step 3: Cross multiply
    7,148.96x = 9,866.53 × 4,165.73
  4. Step 4: Simplify right side
    7,148.96x = 41,101,300.02
  5. Step 5: Solve for x
    x = 41,101,300.02/7,148.96
  6. Step 6: Final answer
    x = 5,749.27

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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.