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Finding the Fourth Proportional to 7,206.56, 9,949.28 and 5,720.48

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Solution

The fourth proportional to 7,206.56, 9,949.28 and 5,720.48 is: 7,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.56 : 9,949.28 = 5,720.48 : x
  2. Step 2: Convert to fraction form
    7,206.56/9,949.28 = 5,720.48/x
  3. Step 3: Cross multiply
    7,206.56x = 9,949.28 × 5,720.48
  4. Step 4: Simplify right side
    7,206.56x = 56,914,657.25
  5. Step 5: Solve for x
    x = 56,914,657.25/7,206.56
  6. Step 6: Final answer
    x = 7,897.62

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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.