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Finding the Fourth Proportional to 22,009.80, 32,969.90 and 13,664.20

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Solution

The fourth proportional to 22,009.80, 32,969.90 and 13,664.20 is: 20,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.80 : 32,969.90 = 13,664.20 : x
  2. Step 2: Convert to fraction form
    22,009.80/32,969.90 = 13,664.20/x
  3. Step 3: Cross multiply
    22,009.80x = 32,969.90 × 13,664.20
  4. Step 4: Simplify right side
    22,009.80x = 450,507,307.58
  5. Step 5: Solve for x
    x = 450,507,307.58/22,009.80
  6. Step 6: Final answer
    x = 20,468.49

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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.