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Finding the Fourth Proportional to 27,857.30, 41,788.30 and 9,137.22

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Solution

The fourth proportional to 27,857.30, 41,788.30 and 9,137.22 is: 13,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.30 : 41,788.30 = 9,137.22 : x
  2. Step 2: Convert to fraction form
    27,857.30/41,788.30 = 9,137.22/x
  3. Step 3: Cross multiply
    27,857.30x = 41,788.30 × 9,137.22
  4. Step 4: Simplify right side
    27,857.30x = 381,828,890.53
  5. Step 5: Solve for x
    x = 381,828,890.53/27,857.30
  6. Step 6: Final answer
    x = 13,706.60

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1.5x scale

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.