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Finding the Fourth Proportional to 27,709, 38,238.42 and 15,133.78

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Solution

The fourth proportional to 27,709, 38,238.42 and 15,133.78 is: 20,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709 : 38,238.42 = 15,133.78 : x
  2. Step 2: Convert to fraction form
    27,709/38,238.42 = 15,133.78/x
  3. Step 3: Cross multiply
    27,709x = 38,238.42 × 15,133.78
  4. Step 4: Simplify right side
    27,709x = 578,691,835.83
  5. Step 5: Solve for x
    x = 578,691,835.83/27,709
  6. Step 6: Final answer
    x = 20,884.62

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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.