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Finding the Fourth Proportional to 3,602.47, 5,400.73 and 1,135.75

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Solution

The fourth proportional to 3,602.47, 5,400.73 and 1,135.75 is: 1,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.47 : 5,400.73 = 1,135.75 : x
  2. Step 2: Convert to fraction form
    3,602.47/5,400.73 = 1,135.75/x
  3. Step 3: Cross multiply
    3,602.47x = 5,400.73 × 1,135.75
  4. Step 4: Simplify right side
    3,602.47x = 6,133,879.10
  5. Step 5: Solve for x
    x = 6,133,879.10/3,602.47
  6. Step 6: Final answer
    x = 1,702.69

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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.