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Finding the Fourth Proportional to 18,838.08, 28,256.24 and 7,742.08

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Solution

The fourth proportional to 18,838.08, 28,256.24 and 7,742.08 is: 11,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838.08 : 28,256.24 = 7,742.08 : x
  2. Step 2: Convert to fraction form
    18,838.08/28,256.24 = 7,742.08/x
  3. Step 3: Cross multiply
    18,838.08x = 28,256.24 × 7,742.08
  4. Step 4: Simplify right side
    18,838.08x = 218,762,070.58
  5. Step 5: Solve for x
    x = 218,762,070.58/18,838.08
  6. Step 6: Final answer
    x = 11,612.76

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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.