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Finding the Fourth Proportional to 34,440, 47,519.88 and 20,287.68

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Solution

The fourth proportional to 34,440, 47,519.88 and 20,287.68 is: 27,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,440 : 47,519.88 = 20,287.68 : x
  2. Step 2: Convert to fraction form
    34,440/47,519.88 = 20,287.68/x
  3. Step 3: Cross multiply
    34,440x = 47,519.88 × 20,287.68
  4. Step 4: Simplify right side
    34,440x = 964,068,119.08
  5. Step 5: Solve for x
    x = 964,068,119.08/34,440
  6. Step 6: Final answer
    x = 27,992.69

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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.