Home / 1,670.24-2,304.59-1,007.14

Finding the Fourth Proportional to 1,670.24, 2,304.59 and 1,007.14

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Solution

The fourth proportional to 1,670.24, 2,304.59 and 1,007.14 is: 1,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.24 : 2,304.59 = 1,007.14 : x
  2. Step 2: Convert to fraction form
    1,670.24/2,304.59 = 1,007.14/x
  3. Step 3: Cross multiply
    1,670.24x = 2,304.59 × 1,007.14
  4. Step 4: Simplify right side
    1,670.24x = 2,321,033.25
  5. Step 5: Solve for x
    x = 2,321,033.25/1,670.24
  6. Step 6: Final answer
    x = 1,389.64

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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.