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Finding the Fourth Proportional to 5,806.87, 8,710.63 and 1,858.48

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Solution

The fourth proportional to 5,806.87, 8,710.63 and 1,858.48 is: 2,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.87 : 8,710.63 = 1,858.48 : x
  2. Step 2: Convert to fraction form
    5,806.87/8,710.63 = 1,858.48/x
  3. Step 3: Cross multiply
    5,806.87x = 8,710.63 × 1,858.48
  4. Step 4: Simplify right side
    5,806.87x = 16,188,488.09
  5. Step 5: Solve for x
    x = 16,188,488.09/5,806.87
  6. Step 6: Final answer
    x = 2,787.82

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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.