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Finding the Fourth Proportional to 13,973.76, 20,989.44 and 13,507.20

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Solution

The fourth proportional to 13,973.76, 20,989.44 and 13,507.20 is: 20,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.76 : 20,989.44 = 13,507.20 : x
  2. Step 2: Convert to fraction form
    13,973.76/20,989.44 = 13,507.20/x
  3. Step 3: Cross multiply
    13,973.76x = 20,989.44 × 13,507.20
  4. Step 4: Simplify right side
    13,973.76x = 283,508,563.97
  5. Step 5: Solve for x
    x = 283,508,563.97/13,973.76
  6. Step 6: Final answer
    x = 20,288.64

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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.