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Finding the Fourth Proportional to 17,380.12, 23,978.28 and 11,415

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Solution

The fourth proportional to 17,380.12, 23,978.28 and 11,415 is: 15,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.12 : 23,978.28 = 11,415 : x
  2. Step 2: Convert to fraction form
    17,380.12/23,978.28 = 11,415/x
  3. Step 3: Cross multiply
    17,380.12x = 23,978.28 × 11,415
  4. Step 4: Simplify right side
    17,380.12x = 273,712,066.20
  5. Step 5: Solve for x
    x = 273,712,066.20/17,380.12
  6. Step 6: Final answer
    x = 15,748.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.