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Finding the Fourth Proportional to 27,425.03, 37,850.29 and 15,783

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Solution

The fourth proportional to 27,425.03, 37,850.29 and 15,783 is: 21,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.03 : 37,850.29 = 15,783 : x
  2. Step 2: Convert to fraction form
    27,425.03/37,850.29 = 15,783/x
  3. Step 3: Cross multiply
    27,425.03x = 37,850.29 × 15,783
  4. Step 4: Simplify right side
    27,425.03x = 597,391,087.61
  5. Step 5: Solve for x
    x = 597,391,087.61/27,425.03
  6. Step 6: Final answer
    x = 21,782.70

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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.