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Finding the Fourth Proportional to 8,164.48, 12,237 and 5,685.88

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Solution

The fourth proportional to 8,164.48, 12,237 and 5,685.88 is: 8,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.48 : 12,237 = 5,685.88 : x
  2. Step 2: Convert to fraction form
    8,164.48/12,237 = 5,685.88/x
  3. Step 3: Cross multiply
    8,164.48x = 12,237 × 5,685.88
  4. Step 4: Simplify right side
    8,164.48x = 69,578,113.56
  5. Step 5: Solve for x
    x = 69,578,113.56/8,164.48
  6. Step 6: Final answer
    x = 8,522.05

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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.