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Finding the Fourth Proportional to 8,164.77, 12,246.89 and 3,547.77

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Solution

The fourth proportional to 8,164.77, 12,246.89 and 3,547.77 is: 5,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.77 : 12,246.89 = 3,547.77 : x
  2. Step 2: Convert to fraction form
    8,164.77/12,246.89 = 3,547.77/x
  3. Step 3: Cross multiply
    8,164.77x = 12,246.89 × 3,547.77
  4. Step 4: Simplify right side
    8,164.77x = 43,449,131.20
  5. Step 5: Solve for x
    x = 43,449,131.20/8,164.77
  6. Step 6: Final answer
    x = 5,321.54

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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.