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Finding the Fourth Proportional to 27,680, 38,215.68 and 17,761.28

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Solution

The fourth proportional to 27,680, 38,215.68 and 17,761.28 is: 24,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680 : 38,215.68 = 17,761.28 : x
  2. Step 2: Convert to fraction form
    27,680/38,215.68 = 17,761.28/x
  3. Step 3: Cross multiply
    27,680x = 38,215.68 × 17,761.28
  4. Step 4: Simplify right side
    27,680x = 678,759,392.87
  5. Step 5: Solve for x
    x = 678,759,392.87/27,680
  6. Step 6: Final answer
    x = 24,521.65

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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.