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Finding the Fourth Proportional to 20,642.90, 30,964.34 and 8,322.26

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Solution

The fourth proportional to 20,642.90, 30,964.34 and 8,322.26 is: 12,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.90 : 30,964.34 = 8,322.26 : x
  2. Step 2: Convert to fraction form
    20,642.90/30,964.34 = 8,322.26/x
  3. Step 3: Cross multiply
    20,642.90x = 30,964.34 × 8,322.26
  4. Step 4: Simplify right side
    20,642.90x = 257,693,288.21
  5. Step 5: Solve for x
    x = 257,693,288.21/20,642.90
  6. Step 6: Final answer
    x = 12,483.39

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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.