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Finding the Fourth Proportional to 27,212.80, 40,828.80 and 9,683.20

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Solution

The fourth proportional to 27,212.80, 40,828.80 and 9,683.20 is: 14,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.80 : 40,828.80 = 9,683.20 : x
  2. Step 2: Convert to fraction form
    27,212.80/40,828.80 = 9,683.20/x
  3. Step 3: Cross multiply
    27,212.80x = 40,828.80 × 9,683.20
  4. Step 4: Simplify right side
    27,212.80x = 395,353,436.16
  5. Step 5: Solve for x
    x = 395,353,436.16/27,212.80
  6. Step 6: Final answer
    x = 14,528.22

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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.