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Finding the Fourth Proportional to 8,182.86, 12,271.86 and 2,989.14

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Solution

The fourth proportional to 8,182.86, 12,271.86 and 2,989.14 is: 4,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.86 : 12,271.86 = 2,989.14 : x
  2. Step 2: Convert to fraction form
    8,182.86/12,271.86 = 2,989.14/x
  3. Step 3: Cross multiply
    8,182.86x = 12,271.86 × 2,989.14
  4. Step 4: Simplify right side
    8,182.86x = 36,682,307.60
  5. Step 5: Solve for x
    x = 36,682,307.60/8,182.86
  6. Step 6: Final answer
    x = 4,482.82

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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.