Home / 2,734.20-4,101.30-1,564.20

Finding the Fourth Proportional to 2,734.20, 4,101.30 and 1,564.20

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Solution

The fourth proportional to 2,734.20, 4,101.30 and 1,564.20 is: 2,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.20 : 4,101.30 = 1,564.20 : x
  2. Step 2: Convert to fraction form
    2,734.20/4,101.30 = 1,564.20/x
  3. Step 3: Cross multiply
    2,734.20x = 4,101.30 × 1,564.20
  4. Step 4: Simplify right side
    2,734.20x = 6,415,253.46
  5. Step 5: Solve for x
    x = 6,415,253.46/2,734.20
  6. Step 6: Final answer
    x = 2,346.30

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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.