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Finding the Fourth Proportional to 3,890, 5,835 and 1,154

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Solution

The fourth proportional to 3,890, 5,835 and 1,154 is: 1,731

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 5,835 = 1,154 : x
  2. Step 2: Convert to fraction form
    3,890/5,835 = 1,154/x
  3. Step 3: Cross multiply
    3,890x = 5,835 × 1,154
  4. Step 4: Simplify right side
    3,890x = 6,733,590
  5. Step 5: Solve for x
    x = 6,733,590/3,890
  6. Step 6: Final answer
    x = 1,731

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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.