Home / 2,142.09-3,206.65-1,980.09

Finding the Fourth Proportional to 2,142.09, 3,206.65 and 1,980.09

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Solution

The fourth proportional to 2,142.09, 3,206.65 and 1,980.09 is: 2,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.09 : 3,206.65 = 1,980.09 : x
  2. Step 2: Convert to fraction form
    2,142.09/3,206.65 = 1,980.09/x
  3. Step 3: Cross multiply
    2,142.09x = 3,206.65 × 1,980.09
  4. Step 4: Simplify right side
    2,142.09x = 6,349,434.62
  5. Step 5: Solve for x
    x = 6,349,434.62/2,142.09
  6. Step 6: Final answer
    x = 2,964.14

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1.5x scale

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.