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Finding the Fourth Proportional to 29,978.84, 41,344.09 and 19,357.31

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Solution

The fourth proportional to 29,978.84, 41,344.09 and 19,357.31 is: 26,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.84 : 41,344.09 = 19,357.31 : x
  2. Step 2: Convert to fraction form
    29,978.84/41,344.09 = 19,357.31/x
  3. Step 3: Cross multiply
    29,978.84x = 41,344.09 × 19,357.31
  4. Step 4: Simplify right side
    29,978.84x = 800,310,421.76
  5. Step 5: Solve for x
    x = 800,310,421.76/29,978.84
  6. Step 6: Final answer
    x = 26,695.84

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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.