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Finding the Fourth Proportional to 8,154.87, 12,242.63 and 6,784.95

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Solution

The fourth proportional to 8,154.87, 12,242.63 and 6,784.95 is: 10,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.87 : 12,242.63 = 6,784.95 : x
  2. Step 2: Convert to fraction form
    8,154.87/12,242.63 = 6,784.95/x
  3. Step 3: Cross multiply
    8,154.87x = 12,242.63 × 6,784.95
  4. Step 4: Simplify right side
    8,154.87x = 83,065,632.42
  5. Step 5: Solve for x
    x = 83,065,632.42/8,154.87
  6. Step 6: Final answer
    x = 10,186.02

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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.