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Finding the Fourth Proportional to 8,181.80, 12,272.70 and 5,263.40

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Solution

The fourth proportional to 8,181.80, 12,272.70 and 5,263.40 is: 7,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.80 : 12,272.70 = 5,263.40 : x
  2. Step 2: Convert to fraction form
    8,181.80/12,272.70 = 5,263.40/x
  3. Step 3: Cross multiply
    8,181.80x = 12,272.70 × 5,263.40
  4. Step 4: Simplify right side
    8,181.80x = 64,596,129.18
  5. Step 5: Solve for x
    x = 64,596,129.18/8,181.80
  6. Step 6: Final answer
    x = 7,895.10

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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.