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Finding the Fourth Proportional to 12,707.62, 19,058.10 and 3,820.57

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Solution

The fourth proportional to 12,707.62, 19,058.10 and 3,820.57 is: 5,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.62 : 19,058.10 = 3,820.57 : x
  2. Step 2: Convert to fraction form
    12,707.62/19,058.10 = 3,820.57/x
  3. Step 3: Cross multiply
    12,707.62x = 19,058.10 × 3,820.57
  4. Step 4: Simplify right side
    12,707.62x = 72,812,743.14
  5. Step 5: Solve for x
    x = 72,812,743.14/12,707.62
  6. Step 6: Final answer
    x = 5,729.85

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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.