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Finding the Fourth Proportional to 34,668.84, 47,827.80 and 20,321.39

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Solution

The fourth proportional to 34,668.84, 47,827.80 and 20,321.39 is: 28,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668.84 : 47,827.80 = 20,321.39 : x
  2. Step 2: Convert to fraction form
    34,668.84/47,827.80 = 20,321.39/x
  3. Step 3: Cross multiply
    34,668.84x = 47,827.80 × 20,321.39
  4. Step 4: Simplify right side
    34,668.84x = 971,927,420.01
  5. Step 5: Solve for x
    x = 971,927,420.01/34,668.84
  6. Step 6: Final answer
    x = 28,034.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.