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Finding the Fourth Proportional to 27,906, 41,878.20 and 11,490

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Solution

The fourth proportional to 27,906, 41,878.20 and 11,490 is: 17,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906 : 41,878.20 = 11,490 : x
  2. Step 2: Convert to fraction form
    27,906/41,878.20 = 11,490/x
  3. Step 3: Cross multiply
    27,906x = 41,878.20 × 11,490
  4. Step 4: Simplify right side
    27,906x = 481,180,518.00
  5. Step 5: Solve for x
    x = 481,180,518.00/27,906
  6. Step 6: Final answer
    x = 17,242.91

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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.