Home / 2,564.88-3,845.67-1,686.36

Finding the Fourth Proportional to 2,564.88, 3,845.67 and 1,686.36

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Solution

The fourth proportional to 2,564.88, 3,845.67 and 1,686.36 is: 2,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.88 : 3,845.67 = 1,686.36 : x
  2. Step 2: Convert to fraction form
    2,564.88/3,845.67 = 1,686.36/x
  3. Step 3: Cross multiply
    2,564.88x = 3,845.67 × 1,686.36
  4. Step 4: Simplify right side
    2,564.88x = 6,485,184.06
  5. Step 5: Solve for x
    x = 6,485,184.06/2,564.88
  6. Step 6: Final answer
    x = 2,528.46

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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.