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Finding the Fourth Proportional to 11,785, 16,263.68 and 6,480.20

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Solution

The fourth proportional to 11,785, 16,263.68 and 6,480.20 is: 8,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785 : 16,263.68 = 6,480.20 : x
  2. Step 2: Convert to fraction form
    11,785/16,263.68 = 6,480.20/x
  3. Step 3: Cross multiply
    11,785x = 16,263.68 × 6,480.20
  4. Step 4: Simplify right side
    11,785x = 105,391,899.14
  5. Step 5: Solve for x
    x = 105,391,899.14/11,785
  6. Step 6: Final answer
    x = 8,942.88

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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.