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Finding the Fourth Proportional to 2,663.94, 3,678.40 and 2,383.68

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Solution

The fourth proportional to 2,663.94, 3,678.40 and 2,383.68 is: 3,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.94 : 3,678.40 = 2,383.68 : x
  2. Step 2: Convert to fraction form
    2,663.94/3,678.40 = 2,383.68/x
  3. Step 3: Cross multiply
    2,663.94x = 3,678.40 × 2,383.68
  4. Step 4: Simplify right side
    2,663.94x = 8,768,128.51
  5. Step 5: Solve for x
    x = 8,768,128.51/2,663.94
  6. Step 6: Final answer
    x = 3,291.41

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1.5x scale

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.