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Finding the Fourth Proportional to 7,207.92, 9,952.56 and 5,640.48

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Solution

The fourth proportional to 7,207.92, 9,952.56 and 5,640.48 is: 7,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.92 : 9,952.56 = 5,640.48 : x
  2. Step 2: Convert to fraction form
    7,207.92/9,952.56 = 5,640.48/x
  3. Step 3: Cross multiply
    7,207.92x = 9,952.56 × 5,640.48
  4. Step 4: Simplify right side
    7,207.92x = 56,137,215.63
  5. Step 5: Solve for x
    x = 56,137,215.63/7,207.92
  6. Step 6: Final answer
    x = 7,788.27

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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.