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Finding the Fourth Proportional to 28,230, 42,361.41 and 12,647.63

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Solution

The fourth proportional to 28,230, 42,361.41 and 12,647.63 is: 18,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,230 : 42,361.41 = 12,647.63 : x
  2. Step 2: Convert to fraction form
    28,230/42,361.41 = 12,647.63/x
  3. Step 3: Cross multiply
    28,230x = 42,361.41 × 12,647.63
  4. Step 4: Simplify right side
    28,230x = 535,771,164.91
  5. Step 5: Solve for x
    x = 535,771,164.91/28,230
  6. Step 6: Final answer
    x = 18,978.79

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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.