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Finding the Fourth Proportional to 2,825.63, 4,237.96 and 745.66

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Solution

The fourth proportional to 2,825.63, 4,237.96 and 745.66 is: 1,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.63 : 4,237.96 = 745.66 : x
  2. Step 2: Convert to fraction form
    2,825.63/4,237.96 = 745.66/x
  3. Step 3: Cross multiply
    2,825.63x = 4,237.96 × 745.66
  4. Step 4: Simplify right side
    2,825.63x = 3,160,056.06
  5. Step 5: Solve for x
    x = 3,160,056.06/2,825.63
  6. Step 6: Final answer
    x = 1,118.35

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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.