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Finding the Fourth Proportional to 12,749, 19,125.12 and 3,515

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Solution

The fourth proportional to 12,749, 19,125.12 and 3,515 is: 5,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749 : 19,125.12 = 3,515 : x
  2. Step 2: Convert to fraction form
    12,749/19,125.12 = 3,515/x
  3. Step 3: Cross multiply
    12,749x = 19,125.12 × 3,515
  4. Step 4: Simplify right side
    12,749x = 67,224,796.80
  5. Step 5: Solve for x
    x = 67,224,796.80/12,749
  6. Step 6: Final answer
    x = 5,272.95

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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.