Home / 3,431.74-5,146.80-1,970.14

Finding the Fourth Proportional to 3,431.74, 5,146.80 and 1,970.14

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Solution

The fourth proportional to 3,431.74, 5,146.80 and 1,970.14 is: 2,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.74 : 5,146.80 = 1,970.14 : x
  2. Step 2: Convert to fraction form
    3,431.74/5,146.80 = 1,970.14/x
  3. Step 3: Cross multiply
    3,431.74x = 5,146.80 × 1,970.14
  4. Step 4: Simplify right side
    3,431.74x = 10,139,916.55
  5. Step 5: Solve for x
    x = 10,139,916.55/3,431.74
  6. Step 6: Final answer
    x = 2,954.74

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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.