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Finding the Fourth Proportional to 8,397.84, 12,597.48 and 3,131.22

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Solution

The fourth proportional to 8,397.84, 12,597.48 and 3,131.22 is: 4,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.84 : 12,597.48 = 3,131.22 : x
  2. Step 2: Convert to fraction form
    8,397.84/12,597.48 = 3,131.22/x
  3. Step 3: Cross multiply
    8,397.84x = 12,597.48 × 3,131.22
  4. Step 4: Simplify right side
    8,397.84x = 39,445,481.33
  5. Step 5: Solve for x
    x = 39,445,481.33/8,397.84
  6. Step 6: Final answer
    x = 4,697.10

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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.