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Finding the Fourth Proportional to 19,337.12, 28,978.32 and 8,232.63

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Solution

The fourth proportional to 19,337.12, 28,978.32 and 8,232.63 is: 12,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337.12 : 28,978.32 = 8,232.63 : x
  2. Step 2: Convert to fraction form
    19,337.12/28,978.32 = 8,232.63/x
  3. Step 3: Cross multiply
    19,337.12x = 28,978.32 × 8,232.63
  4. Step 4: Simplify right side
    19,337.12x = 238,567,786.58
  5. Step 5: Solve for x
    x = 238,567,786.58/19,337.12
  6. Step 6: Final answer
    x = 12,337.30

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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.