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Finding the Fourth Proportional to 7,077.55, 9,767.09 and 3,891.01

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Solution

The fourth proportional to 7,077.55, 9,767.09 and 3,891.01 is: 5,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.55 : 9,767.09 = 3,891.01 : x
  2. Step 2: Convert to fraction form
    7,077.55/9,767.09 = 3,891.01/x
  3. Step 3: Cross multiply
    7,077.55x = 9,767.09 × 3,891.01
  4. Step 4: Simplify right side
    7,077.55x = 38,003,844.86
  5. Step 5: Solve for x
    x = 38,003,844.86/7,077.55
  6. Step 6: Final answer
    x = 5,369.63

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1.5x scale

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.