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Finding the Fourth Proportional to 3,663.51, 5,055.64 and 1,984.92

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Solution

The fourth proportional to 3,663.51, 5,055.64 and 1,984.92 is: 2,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.51 : 5,055.64 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    3,663.51/5,055.64 = 1,984.92/x
  3. Step 3: Cross multiply
    3,663.51x = 5,055.64 × 1,984.92
  4. Step 4: Simplify right side
    3,663.51x = 10,035,054.95
  5. Step 5: Solve for x
    x = 10,035,054.95/3,663.51
  6. Step 6: Final answer
    x = 2,739.19

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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.