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Finding the Fourth Proportional to 10,289.38, 15,434 and 2,893.79

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Solution

The fourth proportional to 10,289.38, 15,434 and 2,893.79 is: 4,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.38 : 15,434 = 2,893.79 : x
  2. Step 2: Convert to fraction form
    10,289.38/15,434 = 2,893.79/x
  3. Step 3: Cross multiply
    10,289.38x = 15,434 × 2,893.79
  4. Step 4: Simplify right side
    10,289.38x = 44,662,754.86
  5. Step 5: Solve for x
    x = 44,662,754.86/10,289.38
  6. Step 6: Final answer
    x = 4,340.67

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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.