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Finding the Fourth Proportional to 7,207.96, 9,945.71 and 4,064.15

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Solution

The fourth proportional to 7,207.96, 9,945.71 and 4,064.15 is: 5,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.96 : 9,945.71 = 4,064.15 : x
  2. Step 2: Convert to fraction form
    7,207.96/9,945.71 = 4,064.15/x
  3. Step 3: Cross multiply
    7,207.96x = 9,945.71 × 4,064.15
  4. Step 4: Simplify right side
    7,207.96x = 40,420,857.30
  5. Step 5: Solve for x
    x = 40,420,857.30/7,207.96
  6. Step 6: Final answer
    x = 5,607.81

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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.