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Finding the Fourth Proportional to 3,718.82, 5,578.16 and 907.70

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Solution

The fourth proportional to 3,718.82, 5,578.16 and 907.70 is: 1,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.82 : 5,578.16 = 907.70 : x
  2. Step 2: Convert to fraction form
    3,718.82/5,578.16 = 907.70/x
  3. Step 3: Cross multiply
    3,718.82x = 5,578.16 × 907.70
  4. Step 4: Simplify right side
    3,718.82x = 5,063,295.83
  5. Step 5: Solve for x
    x = 5,063,295.83/3,718.82
  6. Step 6: Final answer
    x = 1,361.53

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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.