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Finding the Fourth Proportional to 1,805.76, 2,702.70 and 1,370.52

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Solution

The fourth proportional to 1,805.76, 2,702.70 and 1,370.52 is: 2,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.76 : 2,702.70 = 1,370.52 : x
  2. Step 2: Convert to fraction form
    1,805.76/2,702.70 = 1,370.52/x
  3. Step 3: Cross multiply
    1,805.76x = 2,702.70 × 1,370.52
  4. Step 4: Simplify right side
    1,805.76x = 3,704,104.40
  5. Step 5: Solve for x
    x = 3,704,104.40/1,805.76
  6. Step 6: Final answer
    x = 2,051.27

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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.