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Finding the Fourth Proportional to 5,631.74, 7,771.65 and 3,079.40

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Solution

The fourth proportional to 5,631.74, 7,771.65 and 3,079.40 is: 4,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.74 : 7,771.65 = 3,079.40 : x
  2. Step 2: Convert to fraction form
    5,631.74/7,771.65 = 3,079.40/x
  3. Step 3: Cross multiply
    5,631.74x = 7,771.65 × 3,079.40
  4. Step 4: Simplify right side
    5,631.74x = 23,932,019.01
  5. Step 5: Solve for x
    x = 23,932,019.01/5,631.74
  6. Step 6: Final answer
    x = 4,249.49

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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.