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Finding the Fourth Proportional to 30,405.90, 41,952.72 and 17,828.22

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Solution

The fourth proportional to 30,405.90, 41,952.72 and 17,828.22 is: 24,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.90 : 41,952.72 = 17,828.22 : x
  2. Step 2: Convert to fraction form
    30,405.90/41,952.72 = 17,828.22/x
  3. Step 3: Cross multiply
    30,405.90x = 41,952.72 × 17,828.22
  4. Step 4: Simplify right side
    30,405.90x = 747,942,321.76
  5. Step 5: Solve for x
    x = 747,942,321.76/30,405.90
  6. Step 6: Final answer
    x = 24,598.59

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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.