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Finding the Fourth Proportional to 7,204.39, 9,945.97 and 4,978.23

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Solution

The fourth proportional to 7,204.39, 9,945.97 and 4,978.23 is: 6,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.39 : 9,945.97 = 4,978.23 : x
  2. Step 2: Convert to fraction form
    7,204.39/9,945.97 = 4,978.23/x
  3. Step 3: Cross multiply
    7,204.39x = 9,945.97 × 4,978.23
  4. Step 4: Simplify right side
    7,204.39x = 49,513,326.23
  5. Step 5: Solve for x
    x = 49,513,326.23/7,204.39
  6. Step 6: Final answer
    x = 6,872.66

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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.