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Finding the Fourth Proportional to 30,151.72, 41,573.22 and 28,489

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Solution

The fourth proportional to 30,151.72, 41,573.22 and 28,489 is: 39,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.72 : 41,573.22 = 28,489 : x
  2. Step 2: Convert to fraction form
    30,151.72/41,573.22 = 28,489/x
  3. Step 3: Cross multiply
    30,151.72x = 41,573.22 × 28,489
  4. Step 4: Simplify right side
    30,151.72x = 1,184,379,464.58
  5. Step 5: Solve for x
    x = 1,184,379,464.58/30,151.72
  6. Step 6: Final answer
    x = 39,280.66

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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.