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Finding the Fourth Proportional to 32,012.39, 48,021.15 and 8,638.49

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Solution

The fourth proportional to 32,012.39, 48,021.15 and 8,638.49 is: 12,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.39 : 48,021.15 = 8,638.49 : x
  2. Step 2: Convert to fraction form
    32,012.39/48,021.15 = 8,638.49/x
  3. Step 3: Cross multiply
    32,012.39x = 48,021.15 × 8,638.49
  4. Step 4: Simplify right side
    32,012.39x = 414,830,224.06
  5. Step 5: Solve for x
    x = 414,830,224.06/32,012.39
  6. Step 6: Final answer
    x = 12,958.43

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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.