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Finding the Fourth Proportional to 8,077.79, 12,111.72 and 3,141.68

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Solution

The fourth proportional to 8,077.79, 12,111.72 and 3,141.68 is: 4,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.79 : 12,111.72 = 3,141.68 : x
  2. Step 2: Convert to fraction form
    8,077.79/12,111.72 = 3,141.68/x
  3. Step 3: Cross multiply
    8,077.79x = 12,111.72 × 3,141.68
  4. Step 4: Simplify right side
    8,077.79x = 38,051,087.93
  5. Step 5: Solve for x
    x = 38,051,087.93/8,077.79
  6. Step 6: Final answer
    x = 4,710.58

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