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Finding the Fourth Proportional to 3,651.63, 5,478.36 and 1,054.56

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Solution

The fourth proportional to 3,651.63, 5,478.36 and 1,054.56 is: 1,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.63 : 5,478.36 = 1,054.56 : x
  2. Step 2: Convert to fraction form
    3,651.63/5,478.36 = 1,054.56/x
  3. Step 3: Cross multiply
    3,651.63x = 5,478.36 × 1,054.56
  4. Step 4: Simplify right side
    3,651.63x = 5,777,259.32
  5. Step 5: Solve for x
    x = 5,777,259.32/3,651.63
  6. Step 6: Final answer
    x = 1,582.10

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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.