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Finding the Fourth Proportional to 2,770.75, 4,156.13 and 1,615.69

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Solution

The fourth proportional to 2,770.75, 4,156.13 and 1,615.69 is: 2,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.75 : 4,156.13 = 1,615.69 : x
  2. Step 2: Convert to fraction form
    2,770.75/4,156.13 = 1,615.69/x
  3. Step 3: Cross multiply
    2,770.75x = 4,156.13 × 1,615.69
  4. Step 4: Simplify right side
    2,770.75x = 6,714,999.21
  5. Step 5: Solve for x
    x = 6,714,999.21/2,770.75
  6. Step 6: Final answer
    x = 2,423.53

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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.