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Finding the Fourth Proportional to 27,300, 40,955.76 and 10,884

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Solution

The fourth proportional to 27,300, 40,955.76 and 10,884 is: 16,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 40,955.76 = 10,884 : x
  2. Step 2: Convert to fraction form
    27,300/40,955.76 = 10,884/x
  3. Step 3: Cross multiply
    27,300x = 40,955.76 × 10,884
  4. Step 4: Simplify right side
    27,300x = 445,762,491.84
  5. Step 5: Solve for x
    x = 445,762,491.84/27,300
  6. Step 6: Final answer
    x = 16,328.30

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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.