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Finding the Fourth Proportional to 13,808.52, 20,712.78 and 3,420.28

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Solution

The fourth proportional to 13,808.52, 20,712.78 and 3,420.28 is: 5,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.52 : 20,712.78 = 3,420.28 : x
  2. Step 2: Convert to fraction form
    13,808.52/20,712.78 = 3,420.28/x
  3. Step 3: Cross multiply
    13,808.52x = 20,712.78 × 3,420.28
  4. Step 4: Simplify right side
    13,808.52x = 70,843,507.18
  5. Step 5: Solve for x
    x = 70,843,507.18/13,808.52
  6. Step 6: Final answer
    x = 5,130.42

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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.