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Finding the Fourth Proportional to 30,961.18, 42,726.03 and 16,814.11

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Solution

The fourth proportional to 30,961.18, 42,726.03 and 16,814.11 is: 23,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.18 : 42,726.03 = 16,814.11 : x
  2. Step 2: Convert to fraction form
    30,961.18/42,726.03 = 16,814.11/x
  3. Step 3: Cross multiply
    30,961.18x = 42,726.03 × 16,814.11
  4. Step 4: Simplify right side
    30,961.18x = 718,400,168.28
  5. Step 5: Solve for x
    x = 718,400,168.28/30,961.18
  6. Step 6: Final answer
    x = 23,203.26

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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.