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Finding the Fourth Proportional to 30,419.19, 41,978.04 and 16,990.64

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Solution

The fourth proportional to 30,419.19, 41,978.04 and 16,990.64 is: 23,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.19 : 41,978.04 = 16,990.64 : x
  2. Step 2: Convert to fraction form
    30,419.19/41,978.04 = 16,990.64/x
  3. Step 3: Cross multiply
    30,419.19x = 41,978.04 × 16,990.64
  4. Step 4: Simplify right side
    30,419.19x = 713,233,555.66
  5. Step 5: Solve for x
    x = 713,233,555.66/30,419.19
  6. Step 6: Final answer
    x = 23,446.83

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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.