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Finding the Fourth Proportional to 8,202.16, 11,319 and 4,476.40

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Solution

The fourth proportional to 8,202.16, 11,319 and 4,476.40 is: 6,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.16 : 11,319 = 4,476.40 : x
  2. Step 2: Convert to fraction form
    8,202.16/11,319 = 4,476.40/x
  3. Step 3: Cross multiply
    8,202.16x = 11,319 × 4,476.40
  4. Step 4: Simplify right side
    8,202.16x = 50,668,371.60
  5. Step 5: Solve for x
    x = 50,668,371.60/8,202.16
  6. Step 6: Final answer
    x = 6,177.44

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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.