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Finding the Fourth Proportional to 8,221.84, 12,331.54 and 3,026.50

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Solution

The fourth proportional to 8,221.84, 12,331.54 and 3,026.50 is: 4,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 12,331.54 = 3,026.50 : x
  2. Step 2: Convert to fraction form
    8,221.84/12,331.54 = 3,026.50/x
  3. Step 3: Cross multiply
    8,221.84x = 12,331.54 × 3,026.50
  4. Step 4: Simplify right side
    8,221.84x = 37,321,405.81
  5. Step 5: Solve for x
    x = 37,321,405.81/8,221.84
  6. Step 6: Final answer
    x = 4,539.30

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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.