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Finding the Fourth Proportional to 7,365.67, 10,165.99 and 4,221.86

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Solution

The fourth proportional to 7,365.67, 10,165.99 and 4,221.86 is: 5,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.67 : 10,165.99 = 4,221.86 : x
  2. Step 2: Convert to fraction form
    7,365.67/10,165.99 = 4,221.86/x
  3. Step 3: Cross multiply
    7,365.67x = 10,165.99 × 4,221.86
  4. Step 4: Simplify right side
    7,365.67x = 42,919,386.54
  5. Step 5: Solve for x
    x = 42,919,386.54/7,365.67
  6. Step 6: Final answer
    x = 5,826.95

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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.