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Finding the Fourth Proportional to 20,643.88, 30,962.94 and 8,329

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Solution

The fourth proportional to 20,643.88, 30,962.94 and 8,329 is: 12,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.88 : 30,962.94 = 8,329 : x
  2. Step 2: Convert to fraction form
    20,643.88/30,962.94 = 8,329/x
  3. Step 3: Cross multiply
    20,643.88x = 30,962.94 × 8,329
  4. Step 4: Simplify right side
    20,643.88x = 257,890,327.26
  5. Step 5: Solve for x
    x = 257,890,327.26/20,643.88
  6. Step 6: Final answer
    x = 12,492.34

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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.