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Finding the Fourth Proportional to 2,731.64, 4,096.74 and 783.32

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Solution

The fourth proportional to 2,731.64, 4,096.74 and 783.32 is: 1,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.64 : 4,096.74 = 783.32 : x
  2. Step 2: Convert to fraction form
    2,731.64/4,096.74 = 783.32/x
  3. Step 3: Cross multiply
    2,731.64x = 4,096.74 × 783.32
  4. Step 4: Simplify right side
    2,731.64x = 3,209,058.38
  5. Step 5: Solve for x
    x = 3,209,058.38/2,731.64
  6. Step 6: Final answer
    x = 1,174.77

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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.