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Finding the Fourth Proportional to 2,686, 3,707.32 and 1,638.94

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Solution

The fourth proportional to 2,686, 3,707.32 and 1,638.94 is: 2,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 3,707.32 = 1,638.94 : x
  2. Step 2: Convert to fraction form
    2,686/3,707.32 = 1,638.94/x
  3. Step 3: Cross multiply
    2,686x = 3,707.32 × 1,638.94
  4. Step 4: Simplify right side
    2,686x = 6,076,075.04
  5. Step 5: Solve for x
    x = 6,076,075.04/2,686
  6. Step 6: Final answer
    x = 2,262.13

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Why These Related Problems?

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