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Finding the Fourth Proportional to 7,205.57, 9,864.43 and 7,156.97

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Solution

The fourth proportional to 7,205.57, 9,864.43 and 7,156.97 is: 9,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.57 : 9,864.43 = 7,156.97 : x
  2. Step 2: Convert to fraction form
    7,205.57/9,864.43 = 7,156.97/x
  3. Step 3: Cross multiply
    7,205.57x = 9,864.43 × 7,156.97
  4. Step 4: Simplify right side
    7,205.57x = 70,599,362.36
  5. Step 5: Solve for x
    x = 70,599,362.36/7,205.57
  6. Step 6: Final answer
    x = 9,797.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.