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Finding the Fourth Proportional to 2,451.40, 3,668.10 and 1,803.40

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Solution

The fourth proportional to 2,451.40, 3,668.10 and 1,803.40 is: 2,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.40 : 3,668.10 = 1,803.40 : x
  2. Step 2: Convert to fraction form
    2,451.40/3,668.10 = 1,803.40/x
  3. Step 3: Cross multiply
    2,451.40x = 3,668.10 × 1,803.40
  4. Step 4: Simplify right side
    2,451.40x = 6,615,051.54
  5. Step 5: Solve for x
    x = 6,615,051.54/2,451.40
  6. Step 6: Final answer
    x = 2,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.