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Finding the Fourth Proportional to 2,508, 3,461.63 and 1,668.75

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Solution

The fourth proportional to 2,508, 3,461.63 and 1,668.75 is: 2,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508 : 3,461.63 = 1,668.75 : x
  2. Step 2: Convert to fraction form
    2,508/3,461.63 = 1,668.75/x
  3. Step 3: Cross multiply
    2,508x = 3,461.63 × 1,668.75
  4. Step 4: Simplify right side
    2,508x = 5,776,586.72
  5. Step 5: Solve for x
    x = 5,776,586.72/2,508
  6. Step 6: Final answer
    x = 2,303.26

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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.