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Finding the Fourth Proportional to 2,486.95, 3,730.46 and 755.58

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Solution

The fourth proportional to 2,486.95, 3,730.46 and 755.58 is: 1,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.95 : 3,730.46 = 755.58 : x
  2. Step 2: Convert to fraction form
    2,486.95/3,730.46 = 755.58/x
  3. Step 3: Cross multiply
    2,486.95x = 3,730.46 × 755.58
  4. Step 4: Simplify right side
    2,486.95x = 2,818,650.19
  5. Step 5: Solve for x
    x = 2,818,650.19/2,486.95
  6. Step 6: Final answer
    x = 1,133.37

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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.