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Finding the Fourth Proportional to 5,602.69, 8,406.20 and 1,905.85

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Solution

The fourth proportional to 5,602.69, 8,406.20 and 1,905.85 is: 2,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.69 : 8,406.20 = 1,905.85 : x
  2. Step 2: Convert to fraction form
    5,602.69/8,406.20 = 1,905.85/x
  3. Step 3: Cross multiply
    5,602.69x = 8,406.20 × 1,905.85
  4. Step 4: Simplify right side
    5,602.69x = 16,020,956.27
  5. Step 5: Solve for x
    x = 16,020,956.27/5,602.69
  6. Step 6: Final answer
    x = 2,859.51

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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.