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Finding the Fourth Proportional to 2,701.78, 3,728.46 and 1,459.78

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Solution

The fourth proportional to 2,701.78, 3,728.46 and 1,459.78 is: 2,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.78 : 3,728.46 = 1,459.78 : x
  2. Step 2: Convert to fraction form
    2,701.78/3,728.46 = 1,459.78/x
  3. Step 3: Cross multiply
    2,701.78x = 3,728.46 × 1,459.78
  4. Step 4: Simplify right side
    2,701.78x = 5,442,733.26
  5. Step 5: Solve for x
    x = 5,442,733.26/2,701.78
  6. Step 6: Final answer
    x = 2,014.50

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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.