Home / 7,164.80-10,746.39-1,970

Finding the Fourth Proportional to 7,164.80, 10,746.39 and 1,970

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Solution

The fourth proportional to 7,164.80, 10,746.39 and 1,970 is: 2,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.80 : 10,746.39 = 1,970 : x
  2. Step 2: Convert to fraction form
    7,164.80/10,746.39 = 1,970/x
  3. Step 3: Cross multiply
    7,164.80x = 10,746.39 × 1,970
  4. Step 4: Simplify right side
    7,164.80x = 21,170,388.30
  5. Step 5: Solve for x
    x = 21,170,388.30/7,164.80
  6. Step 6: Final answer
    x = 2,954.78

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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.