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Finding the Fourth Proportional to 2,657.46, 3,986.19 and 1,270.47

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Solution

The fourth proportional to 2,657.46, 3,986.19 and 1,270.47 is: 1,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.46 : 3,986.19 = 1,270.47 : x
  2. Step 2: Convert to fraction form
    2,657.46/3,986.19 = 1,270.47/x
  3. Step 3: Cross multiply
    2,657.46x = 3,986.19 × 1,270.47
  4. Step 4: Simplify right side
    2,657.46x = 5,064,334.81
  5. Step 5: Solve for x
    x = 5,064,334.81/2,657.46
  6. Step 6: Final answer
    x = 1,905.71

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.