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Finding the Fourth Proportional to 27,614.95, 38,107.49 and 15,678.95

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Solution

The fourth proportional to 27,614.95, 38,107.49 and 15,678.95 is: 21,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.95 : 38,107.49 = 15,678.95 : x
  2. Step 2: Convert to fraction form
    27,614.95/38,107.49 = 15,678.95/x
  3. Step 3: Cross multiply
    27,614.95x = 38,107.49 × 15,678.95
  4. Step 4: Simplify right side
    27,614.95x = 597,485,161.40
  5. Step 5: Solve for x
    x = 597,485,161.40/27,614.95
  6. Step 6: Final answer
    x = 21,636.30

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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.