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Finding the Fourth Proportional to 2,911.81, 4,016.46 and 1,732

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Solution

The fourth proportional to 2,911.81, 4,016.46 and 1,732 is: 2,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.81 : 4,016.46 = 1,732 : x
  2. Step 2: Convert to fraction form
    2,911.81/4,016.46 = 1,732/x
  3. Step 3: Cross multiply
    2,911.81x = 4,016.46 × 1,732
  4. Step 4: Simplify right side
    2,911.81x = 6,956,508.72
  5. Step 5: Solve for x
    x = 6,956,508.72/2,911.81
  6. Step 6: Final answer
    x = 2,389.07

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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.