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Finding the Fourth Proportional to 8,261.64, 12,413.96 and 7,721.72

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Solution

The fourth proportional to 8,261.64, 12,413.96 and 7,721.72 is: 11,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.64 : 12,413.96 = 7,721.72 : x
  2. Step 2: Convert to fraction form
    8,261.64/12,413.96 = 7,721.72/x
  3. Step 3: Cross multiply
    8,261.64x = 12,413.96 × 7,721.72
  4. Step 4: Simplify right side
    8,261.64x = 95,857,123.21
  5. Step 5: Solve for x
    x = 95,857,123.21/8,261.64
  6. Step 6: Final answer
    x = 11,602.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.