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Finding the Fourth Proportional to 30,321.78, 45,468.90 and 12,782.04

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Solution

The fourth proportional to 30,321.78, 45,468.90 and 12,782.04 is: 19,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.78 : 45,468.90 = 12,782.04 : x
  2. Step 2: Convert to fraction form
    30,321.78/45,468.90 = 12,782.04/x
  3. Step 3: Cross multiply
    30,321.78x = 45,468.90 × 12,782.04
  4. Step 4: Simplify right side
    30,321.78x = 581,185,298.56
  5. Step 5: Solve for x
    x = 581,185,298.56/30,321.78
  6. Step 6: Final answer
    x = 19,167.26

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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.