Home / 2,106.22-3,159.41-546.18

Finding the Fourth Proportional to 2,106.22, 3,159.41 and 546.18

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Solution

The fourth proportional to 2,106.22, 3,159.41 and 546.18 is: 819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.22 : 3,159.41 = 546.18 : x
  2. Step 2: Convert to fraction form
    2,106.22/3,159.41 = 546.18/x
  3. Step 3: Cross multiply
    2,106.22x = 3,159.41 × 546.18
  4. Step 4: Simplify right side
    2,106.22x = 1,725,607.03
  5. Step 5: Solve for x
    x = 1,725,607.03/2,106.22
  6. Step 6: Final answer
    x = 819.29

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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.