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Finding the Fourth Proportional to 8,582.76, 11,842.20 and 6,220.80

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Solution

The fourth proportional to 8,582.76, 11,842.20 and 6,220.80 is: 8,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.76 : 11,842.20 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    8,582.76/11,842.20 = 6,220.80/x
  3. Step 3: Cross multiply
    8,582.76x = 11,842.20 × 6,220.80
  4. Step 4: Simplify right side
    8,582.76x = 73,667,957.76
  5. Step 5: Solve for x
    x = 73,667,957.76/8,582.76
  6. Step 6: Final answer
    x = 8,583.25

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Half scale
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Double scale
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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.