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Finding the Fourth Proportional to 12,392.88, 18,585 and 4,070.64

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Solution

The fourth proportional to 12,392.88, 18,585 and 4,070.64 is: 6,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.88 : 18,585 = 4,070.64 : x
  2. Step 2: Convert to fraction form
    12,392.88/18,585 = 4,070.64/x
  3. Step 3: Cross multiply
    12,392.88x = 18,585 × 4,070.64
  4. Step 4: Simplify right side
    12,392.88x = 75,652,844.40
  5. Step 5: Solve for x
    x = 75,652,844.40/12,392.88
  6. Step 6: Final answer
    x = 6,104.54

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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.