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Finding the Fourth Proportional to 8,102.77, 12,146.86 and 2,907.43

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Solution

The fourth proportional to 8,102.77, 12,146.86 and 2,907.43 is: 4,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.77 : 12,146.86 = 2,907.43 : x
  2. Step 2: Convert to fraction form
    8,102.77/12,146.86 = 2,907.43/x
  3. Step 3: Cross multiply
    8,102.77x = 12,146.86 × 2,907.43
  4. Step 4: Simplify right side
    8,102.77x = 35,316,145.17
  5. Step 5: Solve for x
    x = 35,316,145.17/8,102.77
  6. Step 6: Final answer
    x = 4,358.53

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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.