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Finding the Fourth Proportional to 8,065.40, 12,098.10 and 6,121.40

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Solution

The fourth proportional to 8,065.40, 12,098.10 and 6,121.40 is: 9,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.40 : 12,098.10 = 6,121.40 : x
  2. Step 2: Convert to fraction form
    8,065.40/12,098.10 = 6,121.40/x
  3. Step 3: Cross multiply
    8,065.40x = 12,098.10 × 6,121.40
  4. Step 4: Simplify right side
    8,065.40x = 74,057,309.34
  5. Step 5: Solve for x
    x = 74,057,309.34/8,065.40
  6. Step 6: Final answer
    x = 9,182.10

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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.