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Finding the Fourth Proportional to 6,181.74, 8,530.12 and 3,528.64

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Solution

The fourth proportional to 6,181.74, 8,530.12 and 3,528.64 is: 4,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.74 : 8,530.12 = 3,528.64 : x
  2. Step 2: Convert to fraction form
    6,181.74/8,530.12 = 3,528.64/x
  3. Step 3: Cross multiply
    6,181.74x = 8,530.12 × 3,528.64
  4. Step 4: Simplify right side
    6,181.74x = 30,099,689.73
  5. Step 5: Solve for x
    x = 30,099,689.73/6,181.74
  6. Step 6: Final answer
    x = 4,869.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.