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Finding the Fourth Proportional to 5,138.64, 7,703.10 and 4,667.22

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Solution

The fourth proportional to 5,138.64, 7,703.10 and 4,667.22 is: 6,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.64 : 7,703.10 = 4,667.22 : x
  2. Step 2: Convert to fraction form
    5,138.64/7,703.10 = 4,667.22/x
  3. Step 3: Cross multiply
    5,138.64x = 7,703.10 × 4,667.22
  4. Step 4: Simplify right side
    5,138.64x = 35,952,062.38
  5. Step 5: Solve for x
    x = 35,952,062.38/5,138.64
  6. Step 6: Final answer
    x = 6,996.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.