Home / 2,130-2,939.40-1,198.52

Finding the Fourth Proportional to 2,130, 2,939.40 and 1,198.52

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Solution

The fourth proportional to 2,130, 2,939.40 and 1,198.52 is: 1,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130 : 2,939.40 = 1,198.52 : x
  2. Step 2: Convert to fraction form
    2,130/2,939.40 = 1,198.52/x
  3. Step 3: Cross multiply
    2,130x = 2,939.40 × 1,198.52
  4. Step 4: Simplify right side
    2,130x = 3,522,929.69
  5. Step 5: Solve for x
    x = 3,522,929.69/2,130
  6. Step 6: Final answer
    x = 1,653.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.