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Finding the Fourth Proportional to 8,685, 11,995.20 and 5,885.64

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Solution

The fourth proportional to 8,685, 11,995.20 and 5,885.64 is: 8,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685 : 11,995.20 = 5,885.64 : x
  2. Step 2: Convert to fraction form
    8,685/11,995.20 = 5,885.64/x
  3. Step 3: Cross multiply
    8,685x = 11,995.20 × 5,885.64
  4. Step 4: Simplify right side
    8,685x = 70,599,428.93
  5. Step 5: Solve for x
    x = 70,599,428.93/8,685
  6. Step 6: Final answer
    x = 8,128.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.