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Finding the Fourth Proportional to 28,862.86, 43,298.74 and 12,223

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Solution

The fourth proportional to 28,862.86, 43,298.74 and 12,223 is: 18,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,862.86 : 43,298.74 = 12,223 : x
  2. Step 2: Convert to fraction form
    28,862.86/43,298.74 = 12,223/x
  3. Step 3: Cross multiply
    28,862.86x = 43,298.74 × 12,223
  4. Step 4: Simplify right side
    28,862.86x = 529,240,499.02
  5. Step 5: Solve for x
    x = 529,240,499.02/28,862.86
  6. Step 6: Final answer
    x = 18,336.38

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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.