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Finding the Fourth Proportional to 8,021.40, 12,032.10 and 6,077.40

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Solution

The fourth proportional to 8,021.40, 12,032.10 and 6,077.40 is: 9,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.40 : 12,032.10 = 6,077.40 : x
  2. Step 2: Convert to fraction form
    8,021.40/12,032.10 = 6,077.40/x
  3. Step 3: Cross multiply
    8,021.40x = 12,032.10 × 6,077.40
  4. Step 4: Simplify right side
    8,021.40x = 73,123,884.54
  5. Step 5: Solve for x
    x = 73,123,884.54/8,021.40
  6. Step 6: Final answer
    x = 9,116.10

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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.