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Finding the Fourth Proportional to 2,668.75, 3,682.98 and 1,490.05

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Solution

The fourth proportional to 2,668.75, 3,682.98 and 1,490.05 is: 2,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.75 : 3,682.98 = 1,490.05 : x
  2. Step 2: Convert to fraction form
    2,668.75/3,682.98 = 1,490.05/x
  3. Step 3: Cross multiply
    2,668.75x = 3,682.98 × 1,490.05
  4. Step 4: Simplify right side
    2,668.75x = 5,487,807.69
  5. Step 5: Solve for x
    x = 5,487,807.69/2,668.75
  6. Step 6: Final answer
    x = 2,056.32

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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.