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Finding the Fourth Proportional to 30,070, 41,498.52 and 16,822

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Solution

The fourth proportional to 30,070, 41,498.52 and 16,822 is: 23,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,070 : 41,498.52 = 16,822 : x
  2. Step 2: Convert to fraction form
    30,070/41,498.52 = 16,822/x
  3. Step 3: Cross multiply
    30,070x = 41,498.52 × 16,822
  4. Step 4: Simplify right side
    30,070x = 698,088,103.44
  5. Step 5: Solve for x
    x = 698,088,103.44/30,070
  6. Step 6: Final answer
    x = 23,215.43

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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.