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Finding the Fourth Proportional to 12,646.27, 18,978.89 and 4,756.55

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Solution

The fourth proportional to 12,646.27, 18,978.89 and 4,756.55 is: 7,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.27 : 18,978.89 = 4,756.55 : x
  2. Step 2: Convert to fraction form
    12,646.27/18,978.89 = 4,756.55/x
  3. Step 3: Cross multiply
    12,646.27x = 18,978.89 × 4,756.55
  4. Step 4: Simplify right side
    12,646.27x = 90,274,039.23
  5. Step 5: Solve for x
    x = 90,274,039.23/12,646.27
  6. Step 6: Final answer
    x = 7,138.39

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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.