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Finding the Fourth Proportional to 7,365.76, 10,166.08 and 4,221.96

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Solution

The fourth proportional to 7,365.76, 10,166.08 and 4,221.96 is: 5,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.76 : 10,166.08 = 4,221.96 : x
  2. Step 2: Convert to fraction form
    7,365.76/10,166.08 = 4,221.96/x
  3. Step 3: Cross multiply
    7,365.76x = 10,166.08 × 4,221.96
  4. Step 4: Simplify right side
    7,365.76x = 42,920,783.12
  5. Step 5: Solve for x
    x = 42,920,783.12/7,365.76
  6. Step 6: Final answer
    x = 5,827.07

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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.