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Finding the Fourth Proportional to 8,128.64, 12,187.70 and 5,346.90

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Solution

The fourth proportional to 8,128.64, 12,187.70 and 5,346.90 is: 8,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.64 : 12,187.70 = 5,346.90 : x
  2. Step 2: Convert to fraction form
    8,128.64/12,187.70 = 5,346.90/x
  3. Step 3: Cross multiply
    8,128.64x = 12,187.70 × 5,346.90
  4. Step 4: Simplify right side
    8,128.64x = 65,166,413.13
  5. Step 5: Solve for x
    x = 65,166,413.13/8,128.64
  6. Step 6: Final answer
    x = 8,016.89

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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.