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Finding the Fourth Proportional to 2,076.98, 3,114.94 and 615.79

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Solution

The fourth proportional to 2,076.98, 3,114.94 and 615.79 is: 923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.98 : 3,114.94 = 615.79 : x
  2. Step 2: Convert to fraction form
    2,076.98/3,114.94 = 615.79/x
  3. Step 3: Cross multiply
    2,076.98x = 3,114.94 × 615.79
  4. Step 4: Simplify right side
    2,076.98x = 1,918,148.90
  5. Step 5: Solve for x
    x = 1,918,148.90/2,076.98
  6. Step 6: Final answer
    x = 923.53

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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.