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Finding the Fourth Proportional to 2,392.37, 3,587.93 and 911.72

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Solution

The fourth proportional to 2,392.37, 3,587.93 and 911.72 is: 1,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.37 : 3,587.93 = 911.72 : x
  2. Step 2: Convert to fraction form
    2,392.37/3,587.93 = 911.72/x
  3. Step 3: Cross multiply
    2,392.37x = 3,587.93 × 911.72
  4. Step 4: Simplify right side
    2,392.37x = 3,271,195.37
  5. Step 5: Solve for x
    x = 3,271,195.37/2,392.37
  6. Step 6: Final answer
    x = 1,367.35

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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.