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Finding the Fourth Proportional to 12,274.86, 18,415 and 4,483.64

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Solution

The fourth proportional to 12,274.86, 18,415 and 4,483.64 is: 6,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.86 : 18,415 = 4,483.64 : x
  2. Step 2: Convert to fraction form
    12,274.86/18,415 = 4,483.64/x
  3. Step 3: Cross multiply
    12,274.86x = 18,415 × 4,483.64
  4. Step 4: Simplify right side
    12,274.86x = 82,566,230.60
  5. Step 5: Solve for x
    x = 82,566,230.60/12,274.86
  6. Step 6: Final answer
    x = 6,726.45

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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.