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Finding the Fourth Proportional to 27,046, 40,575.48 and 8,578

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Solution

The fourth proportional to 27,046, 40,575.48 and 8,578 is: 12,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046 : 40,575.48 = 8,578 : x
  2. Step 2: Convert to fraction form
    27,046/40,575.48 = 8,578/x
  3. Step 3: Cross multiply
    27,046x = 40,575.48 × 8,578
  4. Step 4: Simplify right side
    27,046x = 348,056,467.44
  5. Step 5: Solve for x
    x = 348,056,467.44/27,046
  6. Step 6: Final answer
    x = 12,869.06

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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.