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Finding the Fourth Proportional to 8,507.79, 12,761.58 and 2,961.03

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Solution

The fourth proportional to 8,507.79, 12,761.58 and 2,961.03 is: 4,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.79 : 12,761.58 = 2,961.03 : x
  2. Step 2: Convert to fraction form
    8,507.79/12,761.58 = 2,961.03/x
  3. Step 3: Cross multiply
    8,507.79x = 12,761.58 × 2,961.03
  4. Step 4: Simplify right side
    8,507.79x = 37,787,421.23
  5. Step 5: Solve for x
    x = 37,787,421.23/8,507.79
  6. Step 6: Final answer
    x = 4,441.51

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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.