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Finding the Fourth Proportional to 8,215.84, 12,322.54 and 3,020.50

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Solution

The fourth proportional to 8,215.84, 12,322.54 and 3,020.50 is: 4,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.84 : 12,322.54 = 3,020.50 : x
  2. Step 2: Convert to fraction form
    8,215.84/12,322.54 = 3,020.50/x
  3. Step 3: Cross multiply
    8,215.84x = 12,322.54 × 3,020.50
  4. Step 4: Simplify right side
    8,215.84x = 37,220,232.07
  5. Step 5: Solve for x
    x = 37,220,232.07/8,215.84
  6. Step 6: Final answer
    x = 4,530.30

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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.