Home / 1,668.16-2,304.64-1,422.24

Finding the Fourth Proportional to 1,668.16, 2,304.64 and 1,422.24

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Solution

The fourth proportional to 1,668.16, 2,304.64 and 1,422.24 is: 1,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.16 : 2,304.64 = 1,422.24 : x
  2. Step 2: Convert to fraction form
    1,668.16/2,304.64 = 1,422.24/x
  3. Step 3: Cross multiply
    1,668.16x = 2,304.64 × 1,422.24
  4. Step 4: Simplify right side
    1,668.16x = 3,277,751.19
  5. Step 5: Solve for x
    x = 3,277,751.19/1,668.16
  6. Step 6: Final answer
    x = 1,964.89

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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.