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Finding the Fourth Proportional to 12,704.80, 19,032 and 8,475.04

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Solution

The fourth proportional to 12,704.80, 19,032 and 8,475.04 is: 12,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.80 : 19,032 = 8,475.04 : x
  2. Step 2: Convert to fraction form
    12,704.80/19,032 = 8,475.04/x
  3. Step 3: Cross multiply
    12,704.80x = 19,032 × 8,475.04
  4. Step 4: Simplify right side
    12,704.80x = 161,296,961.28
  5. Step 5: Solve for x
    x = 161,296,961.28/12,704.80
  6. Step 6: Final answer
    x = 12,695.75

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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.