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Finding the Fourth Proportional to 7,207.68, 9,945.86 and 5,320.26

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Solution

The fourth proportional to 7,207.68, 9,945.86 and 5,320.26 is: 7,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.68 : 9,945.86 = 5,320.26 : x
  2. Step 2: Convert to fraction form
    7,207.68/9,945.86 = 5,320.26/x
  3. Step 3: Cross multiply
    7,207.68x = 9,945.86 × 5,320.26
  4. Step 4: Simplify right side
    7,207.68x = 52,914,534.52
  5. Step 5: Solve for x
    x = 52,914,534.52/7,207.68
  6. Step 6: Final answer
    x = 7,341.41

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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.