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Finding the Fourth Proportional to 18,916.96, 28,374.64 and 7,820.64

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Solution

The fourth proportional to 18,916.96, 28,374.64 and 7,820.64 is: 11,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916.96 : 28,374.64 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    18,916.96/28,374.64 = 7,820.64/x
  3. Step 3: Cross multiply
    18,916.96x = 28,374.64 × 7,820.64
  4. Step 4: Simplify right side
    18,916.96x = 221,907,844.57
  5. Step 5: Solve for x
    x = 221,907,844.57/18,916.96
  6. Step 6: Final answer
    x = 11,730.63

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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.