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Finding the Fourth Proportional to 7,102.38, 9,791.03 and 4,971.31

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Solution

The fourth proportional to 7,102.38, 9,791.03 and 4,971.31 is: 6,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.38 : 9,791.03 = 4,971.31 : x
  2. Step 2: Convert to fraction form
    7,102.38/9,791.03 = 4,971.31/x
  3. Step 3: Cross multiply
    7,102.38x = 9,791.03 × 4,971.31
  4. Step 4: Simplify right side
    7,102.38x = 48,674,245.35
  5. Step 5: Solve for x
    x = 48,674,245.35/7,102.38
  6. Step 6: Final answer
    x = 6,853.24

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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.