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Finding the Fourth Proportional to 8,583.76, 11,843.58 and 6,221.80

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Solution

The fourth proportional to 8,583.76, 11,843.58 and 6,221.80 is: 8,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.76 : 11,843.58 = 6,221.80 : x
  2. Step 2: Convert to fraction form
    8,583.76/11,843.58 = 6,221.80/x
  3. Step 3: Cross multiply
    8,583.76x = 11,843.58 × 6,221.80
  4. Step 4: Simplify right side
    8,583.76x = 73,688,386.04
  5. Step 5: Solve for x
    x = 73,688,386.04/8,583.76
  6. Step 6: Final answer
    x = 8,584.63

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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.