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Finding the Fourth Proportional to 3,972, 5,958 and 1,236

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Solution

The fourth proportional to 3,972, 5,958 and 1,236 is: 1,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,958 = 1,236 : x
  2. Step 2: Convert to fraction form
    3,972/5,958 = 1,236/x
  3. Step 3: Cross multiply
    3,972x = 5,958 × 1,236
  4. Step 4: Simplify right side
    3,972x = 7,364,088
  5. Step 5: Solve for x
    x = 7,364,088/3,972
  6. Step 6: Final answer
    x = 1,854

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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.