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Finding the Fourth Proportional to 3,614.76, 4,986.45 and 2,287.98

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Solution

The fourth proportional to 3,614.76, 4,986.45 and 2,287.98 is: 3,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.76 : 4,986.45 = 2,287.98 : x
  2. Step 2: Convert to fraction form
    3,614.76/4,986.45 = 2,287.98/x
  3. Step 3: Cross multiply
    3,614.76x = 4,986.45 × 2,287.98
  4. Step 4: Simplify right side
    3,614.76x = 11,408,897.87
  5. Step 5: Solve for x
    x = 11,408,897.87/3,614.76
  6. Step 6: Final answer
    x = 3,156.20

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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.