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Finding the Fourth Proportional to 12,717, 19,073.16 and 5,319.48

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Solution

The fourth proportional to 12,717, 19,073.16 and 5,319.48 is: 7,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 19,073.16 = 5,319.48 : x
  2. Step 2: Convert to fraction form
    12,717/19,073.16 = 5,319.48/x
  3. Step 3: Cross multiply
    12,717x = 19,073.16 × 5,319.48
  4. Step 4: Simplify right side
    12,717x = 101,459,293.16
  5. Step 5: Solve for x
    x = 101,459,293.16/12,717
  6. Step 6: Final answer
    x = 7,978.24

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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.