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Finding the Fourth Proportional to 3,717.95, 5,576.85 and 906.82

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Solution

The fourth proportional to 3,717.95, 5,576.85 and 906.82 is: 1,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.95 : 5,576.85 = 906.82 : x
  2. Step 2: Convert to fraction form
    3,717.95/5,576.85 = 906.82/x
  3. Step 3: Cross multiply
    3,717.95x = 5,576.85 × 906.82
  4. Step 4: Simplify right side
    3,717.95x = 5,057,185.17
  5. Step 5: Solve for x
    x = 5,057,185.17/3,717.95
  6. Step 6: Final answer
    x = 1,360.21

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1.5x scale

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.