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Finding the Fourth Proportional to 1,368.51, 1,884.20 and 1,193.79

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Solution

The fourth proportional to 1,368.51, 1,884.20 and 1,193.79 is: 1,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.51 : 1,884.20 = 1,193.79 : x
  2. Step 2: Convert to fraction form
    1,368.51/1,884.20 = 1,193.79/x
  3. Step 3: Cross multiply
    1,368.51x = 1,884.20 × 1,193.79
  4. Step 4: Simplify right side
    1,368.51x = 2,249,333.15
  5. Step 5: Solve for x
    x = 2,249,333.15/1,368.51
  6. Step 6: Final answer
    x = 1,643.64

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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.