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Finding the Fourth Proportional to 1,659.96, 2,491.63 and 1,370.47

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Solution

The fourth proportional to 1,659.96, 2,491.63 and 1,370.47 is: 2,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.96 : 2,491.63 = 1,370.47 : x
  2. Step 2: Convert to fraction form
    1,659.96/2,491.63 = 1,370.47/x
  3. Step 3: Cross multiply
    1,659.96x = 2,491.63 × 1,370.47
  4. Step 4: Simplify right side
    1,659.96x = 3,414,704.17
  5. Step 5: Solve for x
    x = 3,414,704.17/1,659.96
  6. Step 6: Final answer
    x = 2,057.10

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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.