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Finding the Fourth Proportional to 27,276, 40,914 and 10,871.52

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Solution

The fourth proportional to 27,276, 40,914 and 10,871.52 is: 16,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276 : 40,914 = 10,871.52 : x
  2. Step 2: Convert to fraction form
    27,276/40,914 = 10,871.52/x
  3. Step 3: Cross multiply
    27,276x = 40,914 × 10,871.52
  4. Step 4: Simplify right side
    27,276x = 444,797,369.28
  5. Step 5: Solve for x
    x = 444,797,369.28/27,276
  6. Step 6: Final answer
    x = 16,307.28

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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.