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Finding the Fourth Proportional to 27,252, 40,878 and 8,784

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Solution

The fourth proportional to 27,252, 40,878 and 8,784 is: 13,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 40,878 = 8,784 : x
  2. Step 2: Convert to fraction form
    27,252/40,878 = 8,784/x
  3. Step 3: Cross multiply
    27,252x = 40,878 × 8,784
  4. Step 4: Simplify right side
    27,252x = 359,072,352
  5. Step 5: Solve for x
    x = 359,072,352/27,252
  6. Step 6: Final answer
    x = 13,176

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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.