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Finding the Fourth Proportional to 27,257.30, 40,828.48 and 12,478.64

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Solution

The fourth proportional to 27,257.30, 40,828.48 and 12,478.64 is: 18,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.30 : 40,828.48 = 12,478.64 : x
  2. Step 2: Convert to fraction form
    27,257.30/40,828.48 = 12,478.64/x
  3. Step 3: Cross multiply
    27,257.30x = 40,828.48 × 12,478.64
  4. Step 4: Simplify right side
    27,257.30x = 509,483,903.67
  5. Step 5: Solve for x
    x = 509,483,903.67/27,257.30
  6. Step 6: Final answer
    x = 18,691.65

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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.