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Finding the Fourth Proportional to 9,202.70, 12,699.65 and 5,223.78

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Solution

The fourth proportional to 9,202.70, 12,699.65 and 5,223.78 is: 7,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.70 : 12,699.65 = 5,223.78 : x
  2. Step 2: Convert to fraction form
    9,202.70/12,699.65 = 5,223.78/x
  3. Step 3: Cross multiply
    9,202.70x = 12,699.65 × 5,223.78
  4. Step 4: Simplify right side
    9,202.70x = 66,340,177.68
  5. Step 5: Solve for x
    x = 66,340,177.68/9,202.70
  6. Step 6: Final answer
    x = 7,208.77

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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.