Home / 3,426-5,139.14-1,964.48

Finding the Fourth Proportional to 3,426, 5,139.14 and 1,964.48

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Solution

The fourth proportional to 3,426, 5,139.14 and 1,964.48 is: 2,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 5,139.14 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    3,426/5,139.14 = 1,964.48/x
  3. Step 3: Cross multiply
    3,426x = 5,139.14 × 1,964.48
  4. Step 4: Simplify right side
    3,426x = 10,095,737.75
  5. Step 5: Solve for x
    x = 10,095,737.75/3,426
  6. Step 6: Final answer
    x = 2,946.80

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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.