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Finding the Fourth Proportional to 6,640.86, 9,164.40 and 3,656.70

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Solution

The fourth proportional to 6,640.86, 9,164.40 and 3,656.70 is: 5,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.86 : 9,164.40 = 3,656.70 : x
  2. Step 2: Convert to fraction form
    6,640.86/9,164.40 = 3,656.70/x
  3. Step 3: Cross multiply
    6,640.86x = 9,164.40 × 3,656.70
  4. Step 4: Simplify right side
    6,640.86x = 33,511,461.48
  5. Step 5: Solve for x
    x = 33,511,461.48/6,640.86
  6. Step 6: Final answer
    x = 5,046.25

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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.