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Finding the Fourth Proportional to 27,397, 37,805.77 and 15,461.45

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Solution

The fourth proportional to 27,397, 37,805.77 and 15,461.45 is: 21,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397 : 37,805.77 = 15,461.45 : x
  2. Step 2: Convert to fraction form
    27,397/37,805.77 = 15,461.45/x
  3. Step 3: Cross multiply
    27,397x = 37,805.77 × 15,461.45
  4. Step 4: Simplify right side
    27,397x = 584,532,022.57
  5. Step 5: Solve for x
    x = 584,532,022.57/27,397
  6. Step 6: Final answer
    x = 21,335.62

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1.5x scale

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.