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Finding the Fourth Proportional to 27,689.78, 38,211.84 and 15,114.50

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Solution

The fourth proportional to 27,689.78, 38,211.84 and 15,114.50 is: 20,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.78 : 38,211.84 = 15,114.50 : x
  2. Step 2: Convert to fraction form
    27,689.78/38,211.84 = 15,114.50/x
  3. Step 3: Cross multiply
    27,689.78x = 38,211.84 × 15,114.50
  4. Step 4: Simplify right side
    27,689.78x = 577,552,855.68
  5. Step 5: Solve for x
    x = 577,552,855.68/27,689.78
  6. Step 6: Final answer
    x = 20,857.98

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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.