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Finding the Fourth Proportional to 27,260, 40,865.35 and 9,725.66

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Solution

The fourth proportional to 27,260, 40,865.35 and 9,725.66 is: 14,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260 : 40,865.35 = 9,725.66 : x
  2. Step 2: Convert to fraction form
    27,260/40,865.35 = 9,725.66/x
  3. Step 3: Cross multiply
    27,260x = 40,865.35 × 9,725.66
  4. Step 4: Simplify right side
    27,260x = 397,442,499.88
  5. Step 5: Solve for x
    x = 397,442,499.88/27,260
  6. Step 6: Final answer
    x = 14,579.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.