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Finding the Fourth Proportional to 2,657.89, 3,986.84 and 1,267.01

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Solution

The fourth proportional to 2,657.89, 3,986.84 and 1,267.01 is: 1,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.89 : 3,986.84 = 1,267.01 : x
  2. Step 2: Convert to fraction form
    2,657.89/3,986.84 = 1,267.01/x
  3. Step 3: Cross multiply
    2,657.89x = 3,986.84 × 1,267.01
  4. Step 4: Simplify right side
    2,657.89x = 5,051,366.15
  5. Step 5: Solve for x
    x = 5,051,366.15/2,657.89
  6. Step 6: Final answer
    x = 1,900.52

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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.