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Finding the Fourth Proportional to 6,646.39, 9,171.69 and 3,661.74

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Solution

The fourth proportional to 6,646.39, 9,171.69 and 3,661.74 is: 5,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.39 : 9,171.69 = 3,661.74 : x
  2. Step 2: Convert to fraction form
    6,646.39/9,171.69 = 3,661.74/x
  3. Step 3: Cross multiply
    6,646.39x = 9,171.69 × 3,661.74
  4. Step 4: Simplify right side
    6,646.39x = 33,584,347.61
  5. Step 5: Solve for x
    x = 33,584,347.61/6,646.39
  6. Step 6: Final answer
    x = 5,053.02

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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.