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Finding the Fourth Proportional to 35,386.63, 53,078.19 and 13,198.28

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Solution

The fourth proportional to 35,386.63, 53,078.19 and 13,198.28 is: 19,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,386.63 : 53,078.19 = 13,198.28 : x
  2. Step 2: Convert to fraction form
    35,386.63/53,078.19 = 13,198.28/x
  3. Step 3: Cross multiply
    35,386.63x = 53,078.19 × 13,198.28
  4. Step 4: Simplify right side
    35,386.63x = 700,540,572.87
  5. Step 5: Solve for x
    x = 700,540,572.87/35,386.63
  6. Step 6: Final answer
    x = 19,796.76

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