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Finding the Fourth Proportional to 6,641.74, 9,165.54 and 3,657.61

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Solution

The fourth proportional to 6,641.74, 9,165.54 and 3,657.61 is: 5,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.74 : 9,165.54 = 3,657.61 : x
  2. Step 2: Convert to fraction form
    6,641.74/9,165.54 = 3,657.61/x
  3. Step 3: Cross multiply
    6,641.74x = 9,165.54 × 3,657.61
  4. Step 4: Simplify right side
    6,641.74x = 33,523,970.76
  5. Step 5: Solve for x
    x = 33,523,970.76/6,641.74
  6. Step 6: Final answer
    x = 5,047.47

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Similar ratio
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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.