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Finding the Fourth Proportional to 20,643.90, 30,965.84 and 8,323.26

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Solution

The fourth proportional to 20,643.90, 30,965.84 and 8,323.26 is: 12,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.90 : 30,965.84 = 8,323.26 : x
  2. Step 2: Convert to fraction form
    20,643.90/30,965.84 = 8,323.26/x
  3. Step 3: Cross multiply
    20,643.90x = 30,965.84 × 8,323.26
  4. Step 4: Simplify right side
    20,643.90x = 257,736,737.44
  5. Step 5: Solve for x
    x = 257,736,737.44/20,643.90
  6. Step 6: Final answer
    x = 12,484.89

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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.