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Finding the Fourth Proportional to 30,411.78, 41,967.86 and 16,983.27

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Solution

The fourth proportional to 30,411.78, 41,967.86 and 16,983.27 is: 23,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.78 : 41,967.86 = 16,983.27 : x
  2. Step 2: Convert to fraction form
    30,411.78/41,967.86 = 16,983.27/x
  3. Step 3: Cross multiply
    30,411.78x = 41,967.86 × 16,983.27
  4. Step 4: Simplify right side
    30,411.78x = 712,751,497.70
  5. Step 5: Solve for x
    x = 712,751,497.70/30,411.78
  6. Step 6: Final answer
    x = 23,436.69

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1.5x scale

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.