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Finding the Fourth Proportional to 2,771, 4,156.50 and 1,615.94

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Solution

The fourth proportional to 2,771, 4,156.50 and 1,615.94 is: 2,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771 : 4,156.50 = 1,615.94 : x
  2. Step 2: Convert to fraction form
    2,771/4,156.50 = 1,615.94/x
  3. Step 3: Cross multiply
    2,771x = 4,156.50 × 1,615.94
  4. Step 4: Simplify right side
    2,771x = 6,716,654.61
  5. Step 5: Solve for x
    x = 6,716,654.61/2,771
  6. Step 6: Final answer
    x = 2,423.91

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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.