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Finding the Fourth Proportional to 8,181.63, 12,276.95 and 4,900.95

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Solution

The fourth proportional to 8,181.63, 12,276.95 and 4,900.95 is: 7,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.63 : 12,276.95 = 4,900.95 : x
  2. Step 2: Convert to fraction form
    8,181.63/12,276.95 = 4,900.95/x
  3. Step 3: Cross multiply
    8,181.63x = 12,276.95 × 4,900.95
  4. Step 4: Simplify right side
    8,181.63x = 60,168,693.60
  5. Step 5: Solve for x
    x = 60,168,693.60/8,181.63
  6. Step 6: Final answer
    x = 7,354.12

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1.5x scale

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.