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Finding the Fourth Proportional to 8,761.14, 12,091.48 and 5,783.16

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Solution

The fourth proportional to 8,761.14, 12,091.48 and 5,783.16 is: 7,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.14 : 12,091.48 = 5,783.16 : x
  2. Step 2: Convert to fraction form
    8,761.14/12,091.48 = 5,783.16/x
  3. Step 3: Cross multiply
    8,761.14x = 12,091.48 × 5,783.16
  4. Step 4: Simplify right side
    8,761.14x = 69,926,963.48
  5. Step 5: Solve for x
    x = 69,926,963.48/8,761.14
  6. Step 6: Final answer
    x = 7,981.49

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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.