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Finding the Fourth Proportional to 8,185.84, 12,277.53 and 2,990.50

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Solution

The fourth proportional to 8,185.84, 12,277.53 and 2,990.50 is: 4,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.84 : 12,277.53 = 2,990.50 : x
  2. Step 2: Convert to fraction form
    8,185.84/12,277.53 = 2,990.50/x
  3. Step 3: Cross multiply
    8,185.84x = 12,277.53 × 2,990.50
  4. Step 4: Simplify right side
    8,185.84x = 36,715,953.47
  5. Step 5: Solve for x
    x = 36,715,953.47/8,185.84
  6. Step 6: Final answer
    x = 4,485.30

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Half scale
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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.