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Finding the Fourth Proportional to 2,011.75, 2,773.17 and 1,730.47

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Solution

The fourth proportional to 2,011.75, 2,773.17 and 1,730.47 is: 2,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.75 : 2,773.17 = 1,730.47 : x
  2. Step 2: Convert to fraction form
    2,011.75/2,773.17 = 1,730.47/x
  3. Step 3: Cross multiply
    2,011.75x = 2,773.17 × 1,730.47
  4. Step 4: Simplify right side
    2,011.75x = 4,798,887.49
  5. Step 5: Solve for x
    x = 4,798,887.49/2,011.75
  6. Step 6: Final answer
    x = 2,385.43

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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.