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Finding the Fourth Proportional to 2,076.30, 3,115.05 and 615.48

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Solution

The fourth proportional to 2,076.30, 3,115.05 and 615.48 is: 923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.30 : 3,115.05 = 615.48 : x
  2. Step 2: Convert to fraction form
    2,076.30/3,115.05 = 615.48/x
  3. Step 3: Cross multiply
    2,076.30x = 3,115.05 × 615.48
  4. Step 4: Simplify right side
    2,076.30x = 1,917,260.35
  5. Step 5: Solve for x
    x = 1,917,260.35/2,076.30
  6. Step 6: Final answer
    x = 923.40

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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.