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Finding the Fourth Proportional to 2,305.64, 3,460.50 and 921.71

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Solution

The fourth proportional to 2,305.64, 3,460.50 and 921.71 is: 1,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.64 : 3,460.50 = 921.71 : x
  2. Step 2: Convert to fraction form
    2,305.64/3,460.50 = 921.71/x
  3. Step 3: Cross multiply
    2,305.64x = 3,460.50 × 921.71
  4. Step 4: Simplify right side
    2,305.64x = 3,189,586.11
  5. Step 5: Solve for x
    x = 3,189,586.11/2,305.64
  6. Step 6: Final answer
    x = 1,383.38

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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.