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Finding the Fourth Proportional to 27,677, 38,235.84 and 18,139.52

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Solution

The fourth proportional to 27,677, 38,235.84 and 18,139.52 is: 25,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677 : 38,235.84 = 18,139.52 : x
  2. Step 2: Convert to fraction form
    27,677/38,235.84 = 18,139.52/x
  3. Step 3: Cross multiply
    27,677x = 38,235.84 × 18,139.52
  4. Step 4: Simplify right side
    27,677x = 693,579,784.40
  5. Step 5: Solve for x
    x = 693,579,784.40/27,677
  6. Step 6: Final answer
    x = 25,059.79

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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.