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Finding the Fourth Proportional to 3,772.44, 5,658.96 and 1,307.21

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Solution

The fourth proportional to 3,772.44, 5,658.96 and 1,307.21 is: 1,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.44 : 5,658.96 = 1,307.21 : x
  2. Step 2: Convert to fraction form
    3,772.44/5,658.96 = 1,307.21/x
  3. Step 3: Cross multiply
    3,772.44x = 5,658.96 × 1,307.21
  4. Step 4: Simplify right side
    3,772.44x = 7,397,425.71
  5. Step 5: Solve for x
    x = 7,397,425.71/3,772.44
  6. Step 6: Final answer
    x = 1,960.91

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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.