Home / 1,643.56-2,467.77-1,564.27

Finding the Fourth Proportional to 1,643.56, 2,467.77 and 1,564.27

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Solution

The fourth proportional to 1,643.56, 2,467.77 and 1,564.27 is: 2,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.56 : 2,467.77 = 1,564.27 : x
  2. Step 2: Convert to fraction form
    1,643.56/2,467.77 = 1,564.27/x
  3. Step 3: Cross multiply
    1,643.56x = 2,467.77 × 1,564.27
  4. Step 4: Simplify right side
    1,643.56x = 3,860,258.58
  5. Step 5: Solve for x
    x = 3,860,258.58/1,643.56
  6. Step 6: Final answer
    x = 2,348.72

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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.