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Finding the Fourth Proportional to 2,676.54, 3,693.08 and 1,931.61

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Solution

The fourth proportional to 2,676.54, 3,693.08 and 1,931.61 is: 2,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.54 : 3,693.08 = 1,931.61 : x
  2. Step 2: Convert to fraction form
    2,676.54/3,693.08 = 1,931.61/x
  3. Step 3: Cross multiply
    2,676.54x = 3,693.08 × 1,931.61
  4. Step 4: Simplify right side
    2,676.54x = 7,133,580.60
  5. Step 5: Solve for x
    x = 7,133,580.60/2,676.54
  6. Step 6: Final answer
    x = 2,665.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.