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Finding the Fourth Proportional to 3,534.82, 4,879 and 2,207.72

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Solution

The fourth proportional to 3,534.82, 4,879 and 2,207.72 is: 3,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.82 : 4,879 = 2,207.72 : x
  2. Step 2: Convert to fraction form
    3,534.82/4,879 = 2,207.72/x
  3. Step 3: Cross multiply
    3,534.82x = 4,879 × 2,207.72
  4. Step 4: Simplify right side
    3,534.82x = 10,771,465.88
  5. Step 5: Solve for x
    x = 10,771,465.88/3,534.82
  6. Step 6: Final answer
    x = 3,047.25

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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.