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Finding the Fourth Proportional to 13,425.84, 20,112.84 and 6,505.20

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Solution

The fourth proportional to 13,425.84, 20,112.84 and 6,505.20 is: 9,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.84 : 20,112.84 = 6,505.20 : x
  2. Step 2: Convert to fraction form
    13,425.84/20,112.84 = 6,505.20/x
  3. Step 3: Cross multiply
    13,425.84x = 20,112.84 × 6,505.20
  4. Step 4: Simplify right side
    13,425.84x = 130,838,046.77
  5. Step 5: Solve for x
    x = 130,838,046.77/13,425.84
  6. Step 6: Final answer
    x = 9,745.24

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1.5x scale

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.