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Finding the Fourth Proportional to 27,617, 38,113.50 and 15,680.84

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Solution

The fourth proportional to 27,617, 38,113.50 and 15,680.84 is: 21,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617 : 38,113.50 = 15,680.84 : x
  2. Step 2: Convert to fraction form
    27,617/38,113.50 = 15,680.84/x
  3. Step 3: Cross multiply
    27,617x = 38,113.50 × 15,680.84
  4. Step 4: Simplify right side
    27,617x = 597,651,695.34
  5. Step 5: Solve for x
    x = 597,651,695.34/27,617
  6. Step 6: Final answer
    x = 21,640.72

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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.