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Finding the Fourth Proportional to 2,076.16, 3,114.30 and 615.40

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Solution

The fourth proportional to 2,076.16, 3,114.30 and 615.40 is: 923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.16 : 3,114.30 = 615.40 : x
  2. Step 2: Convert to fraction form
    2,076.16/3,114.30 = 615.40/x
  3. Step 3: Cross multiply
    2,076.16x = 3,114.30 × 615.40
  4. Step 4: Simplify right side
    2,076.16x = 1,916,540.22
  5. Step 5: Solve for x
    x = 1,916,540.22/2,076.16
  6. Step 6: Final answer
    x = 923.12

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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.