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Finding the Fourth Proportional to 3,954, 5,931.32 and 1,218

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Solution

The fourth proportional to 3,954, 5,931.32 and 1,218 is: 1,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954 : 5,931.32 = 1,218 : x
  2. Step 2: Convert to fraction form
    3,954/5,931.32 = 1,218/x
  3. Step 3: Cross multiply
    3,954x = 5,931.32 × 1,218
  4. Step 4: Simplify right side
    3,954x = 7,224,347.76
  5. Step 5: Solve for x
    x = 7,224,347.76/3,954
  6. Step 6: Final answer
    x = 1,827.10

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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.