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Finding the Fourth Proportional to 18,893.63, 28,332.24 and 5,742.93

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Solution

The fourth proportional to 18,893.63, 28,332.24 and 5,742.93 is: 8,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,893.63 : 28,332.24 = 5,742.93 : x
  2. Step 2: Convert to fraction form
    18,893.63/28,332.24 = 5,742.93/x
  3. Step 3: Cross multiply
    18,893.63x = 28,332.24 × 5,742.93
  4. Step 4: Simplify right side
    18,893.63x = 162,709,957.10
  5. Step 5: Solve for x
    x = 162,709,957.10/18,893.63
  6. Step 6: Final answer
    x = 8,611.90

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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.