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Finding the Fourth Proportional to 30,872.92, 46,283.46 and 20,984.44

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Solution

The fourth proportional to 30,872.92, 46,283.46 and 20,984.44 is: 31,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.92 : 46,283.46 = 20,984.44 : x
  2. Step 2: Convert to fraction form
    30,872.92/46,283.46 = 20,984.44/x
  3. Step 3: Cross multiply
    30,872.92x = 46,283.46 × 20,984.44
  4. Step 4: Simplify right side
    30,872.92x = 971,232,489.36
  5. Step 5: Solve for x
    x = 971,232,489.36/30,872.92
  6. Step 6: Final answer
    x = 31,459.04

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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.