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Finding the Fourth Proportional to 7,212.78, 9,942.75 and 5,638.14

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Solution

The fourth proportional to 7,212.78, 9,942.75 and 5,638.14 is: 7,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.78 : 9,942.75 = 5,638.14 : x
  2. Step 2: Convert to fraction form
    7,212.78/9,942.75 = 5,638.14/x
  3. Step 3: Cross multiply
    7,212.78x = 9,942.75 × 5,638.14
  4. Step 4: Simplify right side
    7,212.78x = 56,058,616.49
  5. Step 5: Solve for x
    x = 56,058,616.49/7,212.78
  6. Step 6: Final answer
    x = 7,772.12

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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.