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Finding the Fourth Proportional to 3,973.74, 5,962.17 and 1,509.21

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Solution

The fourth proportional to 3,973.74, 5,962.17 and 1,509.21 is: 2,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.74 : 5,962.17 = 1,509.21 : x
  2. Step 2: Convert to fraction form
    3,973.74/5,962.17 = 1,509.21/x
  3. Step 3: Cross multiply
    3,973.74x = 5,962.17 × 1,509.21
  4. Step 4: Simplify right side
    3,973.74x = 8,998,166.59
  5. Step 5: Solve for x
    x = 8,998,166.59/3,973.74
  6. Step 6: Final answer
    x = 2,264.41

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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.