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Finding the Fourth Proportional to 8,200.13, 11,314.01 and 4,662.77

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Solution

The fourth proportional to 8,200.13, 11,314.01 and 4,662.77 is: 6,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.13 : 11,314.01 = 4,662.77 : x
  2. Step 2: Convert to fraction form
    8,200.13/11,314.01 = 4,662.77/x
  3. Step 3: Cross multiply
    8,200.13x = 11,314.01 × 4,662.77
  4. Step 4: Simplify right side
    8,200.13x = 52,754,603.09
  5. Step 5: Solve for x
    x = 52,754,603.09/8,200.13
  6. Step 6: Final answer
    x = 6,433.39

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Half scale
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Double scale
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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.