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Finding the Fourth Proportional to 8,212.50, 12,319.02 and 2,056.50

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Solution

The fourth proportional to 8,212.50, 12,319.02 and 2,056.50 is: 3,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.50 : 12,319.02 = 2,056.50 : x
  2. Step 2: Convert to fraction form
    8,212.50/12,319.02 = 2,056.50/x
  3. Step 3: Cross multiply
    8,212.50x = 12,319.02 × 2,056.50
  4. Step 4: Simplify right side
    8,212.50x = 25,334,064.63
  5. Step 5: Solve for x
    x = 25,334,064.63/8,212.50
  6. Step 6: Final answer
    x = 3,084.82

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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.