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Finding the Fourth Proportional to 1,784.70, 2,672.87 and 1,370.66

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Solution

The fourth proportional to 1,784.70, 2,672.87 and 1,370.66 is: 2,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.70 : 2,672.87 = 1,370.66 : x
  2. Step 2: Convert to fraction form
    1,784.70/2,672.87 = 1,370.66/x
  3. Step 3: Cross multiply
    1,784.70x = 2,672.87 × 1,370.66
  4. Step 4: Simplify right side
    1,784.70x = 3,663,575.78
  5. Step 5: Solve for x
    x = 3,663,575.78/1,784.70
  6. Step 6: Final answer
    x = 2,052.77

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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.