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Finding the Fourth Proportional to 3,791.76, 5,232.78 and 2,113.16

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Solution

The fourth proportional to 3,791.76, 5,232.78 and 2,113.16 is: 2,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.76 : 5,232.78 = 2,113.16 : x
  2. Step 2: Convert to fraction form
    3,791.76/5,232.78 = 2,113.16/x
  3. Step 3: Cross multiply
    3,791.76x = 5,232.78 × 2,113.16
  4. Step 4: Simplify right side
    3,791.76x = 11,057,701.38
  5. Step 5: Solve for x
    x = 11,057,701.38/3,791.76
  6. Step 6: Final answer
    x = 2,916.25

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1.5x scale

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.