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Finding the Fourth Proportional to 9,222.80, 13,830.80 and 3,298.09

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Solution

The fourth proportional to 9,222.80, 13,830.80 and 3,298.09 is: 4,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.80 : 13,830.80 = 3,298.09 : x
  2. Step 2: Convert to fraction form
    9,222.80/13,830.80 = 3,298.09/x
  3. Step 3: Cross multiply
    9,222.80x = 13,830.80 × 3,298.09
  4. Step 4: Simplify right side
    9,222.80x = 45,615,223.17
  5. Step 5: Solve for x
    x = 45,615,223.17/9,222.80
  6. Step 6: Final answer
    x = 4,945.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.