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Finding the Fourth Proportional to 3,632.36, 5,445.36 and 1,292

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Solution

The fourth proportional to 3,632.36, 5,445.36 and 1,292 is: 1,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.36 : 5,445.36 = 1,292 : x
  2. Step 2: Convert to fraction form
    3,632.36/5,445.36 = 1,292/x
  3. Step 3: Cross multiply
    3,632.36x = 5,445.36 × 1,292
  4. Step 4: Simplify right side
    3,632.36x = 7,035,405.12
  5. Step 5: Solve for x
    x = 7,035,405.12/3,632.36
  6. Step 6: Final answer
    x = 1,936.87

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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.