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Finding the Fourth Proportional to 6,641.47, 9,164.90 and 3,657.23

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Solution

The fourth proportional to 6,641.47, 9,164.90 and 3,657.23 is: 5,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.47 : 9,164.90 = 3,657.23 : x
  2. Step 2: Convert to fraction form
    6,641.47/9,164.90 = 3,657.23/x
  3. Step 3: Cross multiply
    6,641.47x = 9,164.90 × 3,657.23
  4. Step 4: Simplify right side
    6,641.47x = 33,518,110.55
  5. Step 5: Solve for x
    x = 33,518,110.55/6,641.47
  6. Step 6: Final answer
    x = 5,046.79

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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.