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Finding the Fourth Proportional to 28,380.38, 42,586.97 and 12,798

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Solution

The fourth proportional to 28,380.38, 42,586.97 and 12,798 is: 19,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380.38 : 42,586.97 = 12,798 : x
  2. Step 2: Convert to fraction form
    28,380.38/42,586.97 = 12,798/x
  3. Step 3: Cross multiply
    28,380.38x = 42,586.97 × 12,798
  4. Step 4: Simplify right side
    28,380.38x = 545,027,978.07
  5. Step 5: Solve for x
    x = 545,027,978.07/28,380.38
  6. Step 6: Final answer
    x = 19,204.40

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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.