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Finding the Fourth Proportional to 27,560, 41,339.88 and 7,838.72

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Solution

The fourth proportional to 27,560, 41,339.88 and 7,838.72 is: 11,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,560 : 41,339.88 = 7,838.72 : x
  2. Step 2: Convert to fraction form
    27,560/41,339.88 = 7,838.72/x
  3. Step 3: Cross multiply
    27,560x = 41,339.88 × 7,838.72
  4. Step 4: Simplify right side
    27,560x = 324,051,744.15
  5. Step 5: Solve for x
    x = 324,051,744.15/27,560
  6. Step 6: Final answer
    x = 11,758.05

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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.