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Finding the Fourth Proportional to 8,001, 12,005.88 and 3,618.12

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Solution

The fourth proportional to 8,001, 12,005.88 and 3,618.12 is: 5,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 12,005.88 = 3,618.12 : x
  2. Step 2: Convert to fraction form
    8,001/12,005.88 = 3,618.12/x
  3. Step 3: Cross multiply
    8,001x = 12,005.88 × 3,618.12
  4. Step 4: Simplify right side
    8,001x = 43,438,714.55
  5. Step 5: Solve for x
    x = 43,438,714.55/8,001
  6. Step 6: Final answer
    x = 5,429.16

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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.