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Finding the Fourth Proportional to 27,218, 40,827 and 8,750

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Solution

The fourth proportional to 27,218, 40,827 and 8,750 is: 13,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218 : 40,827 = 8,750 : x
  2. Step 2: Convert to fraction form
    27,218/40,827 = 8,750/x
  3. Step 3: Cross multiply
    27,218x = 40,827 × 8,750
  4. Step 4: Simplify right side
    27,218x = 357,236,250
  5. Step 5: Solve for x
    x = 357,236,250/27,218
  6. Step 6: Final answer
    x = 13,125

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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.