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Finding the Fourth Proportional to 8,109.70, 12,176.70 and 5,655.40

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Solution

The fourth proportional to 8,109.70, 12,176.70 and 5,655.40 is: 8,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.70 : 12,176.70 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    8,109.70/12,176.70 = 5,655.40/x
  3. Step 3: Cross multiply
    8,109.70x = 12,176.70 × 5,655.40
  4. Step 4: Simplify right side
    8,109.70x = 68,864,109.18
  5. Step 5: Solve for x
    x = 68,864,109.18/8,109.70
  6. Step 6: Final answer
    x = 8,491.57

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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.