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Finding the Fourth Proportional to 13,708, 20,576.80 and 6,797.12

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Solution

The fourth proportional to 13,708, 20,576.80 and 6,797.12 is: 10,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708 : 20,576.80 = 6,797.12 : x
  2. Step 2: Convert to fraction form
    13,708/20,576.80 = 6,797.12/x
  3. Step 3: Cross multiply
    13,708x = 20,576.80 × 6,797.12
  4. Step 4: Simplify right side
    13,708x = 139,862,978.82
  5. Step 5: Solve for x
    x = 139,862,978.82/13,708
  6. Step 6: Final answer
    x = 10,203.02

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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.