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Finding the Fourth Proportional to 8,961.96, 12,365.70 and 5,235.24

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Solution

The fourth proportional to 8,961.96, 12,365.70 and 5,235.24 is: 7,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.96 : 12,365.70 = 5,235.24 : x
  2. Step 2: Convert to fraction form
    8,961.96/12,365.70 = 5,235.24/x
  3. Step 3: Cross multiply
    8,961.96x = 12,365.70 × 5,235.24
  4. Step 4: Simplify right side
    8,961.96x = 64,737,407.27
  5. Step 5: Solve for x
    x = 64,737,407.27/8,961.96
  6. Step 6: Final answer
    x = 7,223.58

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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.