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Finding the Fourth Proportional to 8,172.96, 12,256.32 and 5,824.80

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Solution

The fourth proportional to 8,172.96, 12,256.32 and 5,824.80 is: 8,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.96 : 12,256.32 = 5,824.80 : x
  2. Step 2: Convert to fraction form
    8,172.96/12,256.32 = 5,824.80/x
  3. Step 3: Cross multiply
    8,172.96x = 12,256.32 × 5,824.80
  4. Step 4: Simplify right side
    8,172.96x = 71,390,612.74
  5. Step 5: Solve for x
    x = 71,390,612.74/8,172.96
  6. Step 6: Final answer
    x = 8,734.98

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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.