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Finding the Fourth Proportional to 2,686.98, 3,707.64 and 1,507.98

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Solution

The fourth proportional to 2,686.98, 3,707.64 and 1,507.98 is: 2,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.98 : 3,707.64 = 1,507.98 : x
  2. Step 2: Convert to fraction form
    2,686.98/3,707.64 = 1,507.98/x
  3. Step 3: Cross multiply
    2,686.98x = 3,707.64 × 1,507.98
  4. Step 4: Simplify right side
    2,686.98x = 5,591,046.97
  5. Step 5: Solve for x
    x = 5,591,046.97/2,686.98
  6. Step 6: Final answer
    x = 2,080.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.