Home / 2,029.20-3,045.24-1,770

Finding the Fourth Proportional to 2,029.20, 3,045.24 and 1,770

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Solution

The fourth proportional to 2,029.20, 3,045.24 and 1,770 is: 2,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.20 : 3,045.24 = 1,770 : x
  2. Step 2: Convert to fraction form
    2,029.20/3,045.24 = 1,770/x
  3. Step 3: Cross multiply
    2,029.20x = 3,045.24 × 1,770
  4. Step 4: Simplify right side
    2,029.20x = 5,390,074.80
  5. Step 5: Solve for x
    x = 5,390,074.80/2,029.20
  6. Step 6: Final answer
    x = 2,656.26

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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.