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Finding the Fourth Proportional to 7,077.64, 9,767.10 and 3,891.02

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Solution

The fourth proportional to 7,077.64, 9,767.10 and 3,891.02 is: 5,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.64 : 9,767.10 = 3,891.02 : x
  2. Step 2: Convert to fraction form
    7,077.64/9,767.10 = 3,891.02/x
  3. Step 3: Cross multiply
    7,077.64x = 9,767.10 × 3,891.02
  4. Step 4: Simplify right side
    7,077.64x = 38,003,981.44
  5. Step 5: Solve for x
    x = 38,003,981.44/7,077.64
  6. Step 6: Final answer
    x = 5,369.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.