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Finding the Fourth Proportional to 19,378, 29,077.50 and 15,004

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Solution

The fourth proportional to 19,378, 29,077.50 and 15,004 is: 22,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378 : 29,077.50 = 15,004 : x
  2. Step 2: Convert to fraction form
    19,378/29,077.50 = 15,004/x
  3. Step 3: Cross multiply
    19,378x = 29,077.50 × 15,004
  4. Step 4: Simplify right side
    19,378x = 436,278,810
  5. Step 5: Solve for x
    x = 436,278,810/19,378
  6. Step 6: Final answer
    x = 22,514.13

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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.