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Finding the Fourth Proportional to 27,809.78, 38,378 and 15,233.72

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Solution

The fourth proportional to 27,809.78, 38,378 and 15,233.72 is: 21,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.78 : 38,378 = 15,233.72 : x
  2. Step 2: Convert to fraction form
    27,809.78/38,378 = 15,233.72/x
  3. Step 3: Cross multiply
    27,809.78x = 38,378 × 15,233.72
  4. Step 4: Simplify right side
    27,809.78x = 584,639,706.16
  5. Step 5: Solve for x
    x = 584,639,706.16/27,809.78
  6. Step 6: Final answer
    x = 21,022.81

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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.