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Finding the Fourth Proportional to 8,102.92, 11,184.83 and 4,746.81

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Solution

The fourth proportional to 8,102.92, 11,184.83 and 4,746.81 is: 6,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.92 : 11,184.83 = 4,746.81 : x
  2. Step 2: Convert to fraction form
    8,102.92/11,184.83 = 4,746.81/x
  3. Step 3: Cross multiply
    8,102.92x = 11,184.83 × 4,746.81
  4. Step 4: Simplify right side
    8,102.92x = 53,092,262.89
  5. Step 5: Solve for x
    x = 53,092,262.89/8,102.92
  6. Step 6: Final answer
    x = 6,552.24

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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.