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Finding the Fourth Proportional to 30,415.14, 41,972.04 and 16,986

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Solution

The fourth proportional to 30,415.14, 41,972.04 and 16,986 is: 23,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.14 : 41,972.04 = 16,986 : x
  2. Step 2: Convert to fraction form
    30,415.14/41,972.04 = 16,986/x
  3. Step 3: Cross multiply
    30,415.14x = 41,972.04 × 16,986
  4. Step 4: Simplify right side
    30,415.14x = 712,937,071.44
  5. Step 5: Solve for x
    x = 712,937,071.44/30,415.14
  6. Step 6: Final answer
    x = 23,440.20

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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.