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Finding the Fourth Proportional to 30,968.31, 46,452.45 and 8,781.87

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Solution

The fourth proportional to 30,968.31, 46,452.45 and 8,781.87 is: 13,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.31 : 46,452.45 = 8,781.87 : x
  2. Step 2: Convert to fraction form
    30,968.31/46,452.45 = 8,781.87/x
  3. Step 3: Cross multiply
    30,968.31x = 46,452.45 × 8,781.87
  4. Step 4: Simplify right side
    30,968.31x = 407,939,584.21
  5. Step 5: Solve for x
    x = 407,939,584.21/30,968.31
  6. Step 6: Final answer
    x = 13,172.81

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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.