Home / 4,205-6,309.18-1,608.20

Finding the Fourth Proportional to 4,205, 6,309.18 and 1,608.20

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Solution

The fourth proportional to 4,205, 6,309.18 and 1,608.20 is: 2,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 6,309.18 = 1,608.20 : x
  2. Step 2: Convert to fraction form
    4,205/6,309.18 = 1,608.20/x
  3. Step 3: Cross multiply
    4,205x = 6,309.18 × 1,608.20
  4. Step 4: Simplify right side
    4,205x = 10,146,423.28
  5. Step 5: Solve for x
    x = 10,146,423.28/4,205
  6. Step 6: Final answer
    x = 2,412.94

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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.