Home / 1,424.96-1,964.26-1,004.12

Finding the Fourth Proportional to 1,424.96, 1,964.26 and 1,004.12

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Solution

The fourth proportional to 1,424.96, 1,964.26 and 1,004.12 is: 1,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.96 : 1,964.26 = 1,004.12 : x
  2. Step 2: Convert to fraction form
    1,424.96/1,964.26 = 1,004.12/x
  3. Step 3: Cross multiply
    1,424.96x = 1,964.26 × 1,004.12
  4. Step 4: Simplify right side
    1,424.96x = 1,972,351.55
  5. Step 5: Solve for x
    x = 1,972,351.55/1,424.96
  6. Step 6: Final answer
    x = 1,384.14

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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.