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Finding the Fourth Proportional to 29,378, 44,067 and 7,490

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Solution

The fourth proportional to 29,378, 44,067 and 7,490 is: 11,235

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 44,067 = 7,490 : x
  2. Step 2: Convert to fraction form
    29,378/44,067 = 7,490/x
  3. Step 3: Cross multiply
    29,378x = 44,067 × 7,490
  4. Step 4: Simplify right side
    29,378x = 330,061,830
  5. Step 5: Solve for x
    x = 330,061,830/29,378
  6. Step 6: Final answer
    x = 11,235

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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.