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Finding the Fourth Proportional to 27,786, 38,344.71 and 15,210.78

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Solution

The fourth proportional to 27,786, 38,344.71 and 15,210.78 is: 20,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 38,344.71 = 15,210.78 : x
  2. Step 2: Convert to fraction form
    27,786/38,344.71 = 15,210.78/x
  3. Step 3: Cross multiply
    27,786x = 38,344.71 × 15,210.78
  4. Step 4: Simplify right side
    27,786x = 583,252,947.97
  5. Step 5: Solve for x
    x = 583,252,947.97/27,786
  6. Step 6: Final answer
    x = 20,990.89

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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.