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Finding the Fourth Proportional to 8,515.71, 12,770.06 and 3,834.50

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Solution

The fourth proportional to 8,515.71, 12,770.06 and 3,834.50 is: 5,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.71 : 12,770.06 = 3,834.50 : x
  2. Step 2: Convert to fraction form
    8,515.71/12,770.06 = 3,834.50/x
  3. Step 3: Cross multiply
    8,515.71x = 12,770.06 × 3,834.50
  4. Step 4: Simplify right side
    8,515.71x = 48,966,712.05
  5. Step 5: Solve for x
    x = 48,966,712.05/8,515.71
  6. Step 6: Final answer
    x = 5,750.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.