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Finding the Fourth Proportional to 30,855.36, 46,179.36 and 17,688

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Solution

The fourth proportional to 30,855.36, 46,179.36 and 17,688 is: 26,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.36 : 46,179.36 = 17,688 : x
  2. Step 2: Convert to fraction form
    30,855.36/46,179.36 = 17,688/x
  3. Step 3: Cross multiply
    30,855.36x = 46,179.36 × 17,688
  4. Step 4: Simplify right side
    30,855.36x = 816,820,519.68
  5. Step 5: Solve for x
    x = 816,820,519.68/30,855.36
  6. Step 6: Final answer
    x = 26,472.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.