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Finding the Fourth Proportional to 8,156.40, 12,225.11 and 6,678.12

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Solution

The fourth proportional to 8,156.40, 12,225.11 and 6,678.12 is: 10,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.40 : 12,225.11 = 6,678.12 : x
  2. Step 2: Convert to fraction form
    8,156.40/12,225.11 = 6,678.12/x
  3. Step 3: Cross multiply
    8,156.40x = 12,225.11 × 6,678.12
  4. Step 4: Simplify right side
    8,156.40x = 81,640,751.59
  5. Step 5: Solve for x
    x = 81,640,751.59/8,156.40
  6. Step 6: Final answer
    x = 10,009.41

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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.