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Finding the Fourth Proportional to 2,687.86, 4,031.74 and 740

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Solution

The fourth proportional to 2,687.86, 4,031.74 and 740 is: 1,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.86 : 4,031.74 = 740 : x
  2. Step 2: Convert to fraction form
    2,687.86/4,031.74 = 740/x
  3. Step 3: Cross multiply
    2,687.86x = 4,031.74 × 740
  4. Step 4: Simplify right side
    2,687.86x = 2,983,487.60
  5. Step 5: Solve for x
    x = 2,983,487.60/2,687.86
  6. Step 6: Final answer
    x = 1,109.99

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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.