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Finding the Fourth Proportional to 2,594.46, 3,890.43 and 862.50

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Solution

The fourth proportional to 2,594.46, 3,890.43 and 862.50 is: 1,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.46 : 3,890.43 = 862.50 : x
  2. Step 2: Convert to fraction form
    2,594.46/3,890.43 = 862.50/x
  3. Step 3: Cross multiply
    2,594.46x = 3,890.43 × 862.50
  4. Step 4: Simplify right side
    2,594.46x = 3,355,495.88
  5. Step 5: Solve for x
    x = 3,355,495.88/2,594.46
  6. Step 6: Final answer
    x = 1,293.33

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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.