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Finding the Fourth Proportional to 6,642.44, 9,166.19 and 3,657.71

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Solution

The fourth proportional to 6,642.44, 9,166.19 and 3,657.71 is: 5,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.44 : 9,166.19 = 3,657.71 : x
  2. Step 2: Convert to fraction form
    6,642.44/9,166.19 = 3,657.71/x
  3. Step 3: Cross multiply
    6,642.44x = 9,166.19 × 3,657.71
  4. Step 4: Simplify right side
    6,642.44x = 33,527,264.82
  5. Step 5: Solve for x
    x = 33,527,264.82/6,642.44
  6. Step 6: Final answer
    x = 5,047.43

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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.