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Finding the Fourth Proportional to 27,446, 37,880.97 and 15,509.48

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Solution

The fourth proportional to 27,446, 37,880.97 and 15,509.48 is: 21,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446 : 37,880.97 = 15,509.48 : x
  2. Step 2: Convert to fraction form
    27,446/37,880.97 = 15,509.48/x
  3. Step 3: Cross multiply
    27,446x = 37,880.97 × 15,509.48
  4. Step 4: Simplify right side
    27,446x = 587,514,146.60
  5. Step 5: Solve for x
    x = 587,514,146.60/27,446
  6. Step 6: Final answer
    x = 21,406.18

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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.