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Finding the Fourth Proportional to 30,355.52, 41,900.64 and 17,780

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Solution

The fourth proportional to 30,355.52, 41,900.64 and 17,780 is: 24,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,355.52 : 41,900.64 = 17,780 : x
  2. Step 2: Convert to fraction form
    30,355.52/41,900.64 = 17,780/x
  3. Step 3: Cross multiply
    30,355.52x = 41,900.64 × 17,780
  4. Step 4: Simplify right side
    30,355.52x = 744,993,379.20
  5. Step 5: Solve for x
    x = 744,993,379.20/30,355.52
  6. Step 6: Final answer
    x = 24,542.27

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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.