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Finding the Fourth Proportional to 1,596.31, 2,200.77 and 1,241.73

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Solution

The fourth proportional to 1,596.31, 2,200.77 and 1,241.73 is: 1,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.31 : 2,200.77 = 1,241.73 : x
  2. Step 2: Convert to fraction form
    1,596.31/2,200.77 = 1,241.73/x
  3. Step 3: Cross multiply
    1,596.31x = 2,200.77 × 1,241.73
  4. Step 4: Simplify right side
    1,596.31x = 2,732,762.13
  5. Step 5: Solve for x
    x = 2,732,762.13/1,596.31
  6. Step 6: Final answer
    x = 1,711.93

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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.