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Finding the Fourth Proportional to 2,668.16, 3,681.94 and 1,489

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Solution

The fourth proportional to 2,668.16, 3,681.94 and 1,489 is: 2,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.16 : 3,681.94 = 1,489 : x
  2. Step 2: Convert to fraction form
    2,668.16/3,681.94 = 1,489/x
  3. Step 3: Cross multiply
    2,668.16x = 3,681.94 × 1,489
  4. Step 4: Simplify right side
    2,668.16x = 5,482,408.66
  5. Step 5: Solve for x
    x = 5,482,408.66/2,668.16
  6. Step 6: Final answer
    x = 2,054.75

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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.