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Finding the Fourth Proportional to 8,234.60, 12,330.30 and 6,031.40

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Solution

The fourth proportional to 8,234.60, 12,330.30 and 6,031.40 is: 9,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.60 : 12,330.30 = 6,031.40 : x
  2. Step 2: Convert to fraction form
    8,234.60/12,330.30 = 6,031.40/x
  3. Step 3: Cross multiply
    8,234.60x = 12,330.30 × 6,031.40
  4. Step 4: Simplify right side
    8,234.60x = 74,368,971.42
  5. Step 5: Solve for x
    x = 74,368,971.42/8,234.60
  6. Step 6: Final answer
    x = 9,031.28

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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.