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Finding the Fourth Proportional to 3,919, 5,877.40 and 1,970.68

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Solution

The fourth proportional to 3,919, 5,877.40 and 1,970.68 is: 2,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 5,877.40 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    3,919/5,877.40 = 1,970.68/x
  3. Step 3: Cross multiply
    3,919x = 5,877.40 × 1,970.68
  4. Step 4: Simplify right side
    3,919x = 11,582,474.63
  5. Step 5: Solve for x
    x = 11,582,474.63/3,919
  6. Step 6: Final answer
    x = 2,955.47

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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.