Home / 1,970.19-2,719.44-1,223.78

Finding the Fourth Proportional to 1,970.19, 2,719.44 and 1,223.78

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Solution

The fourth proportional to 1,970.19, 2,719.44 and 1,223.78 is: 1,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.19 : 2,719.44 = 1,223.78 : x
  2. Step 2: Convert to fraction form
    1,970.19/2,719.44 = 1,223.78/x
  3. Step 3: Cross multiply
    1,970.19x = 2,719.44 × 1,223.78
  4. Step 4: Simplify right side
    1,970.19x = 3,327,982.69
  5. Step 5: Solve for x
    x = 3,327,982.69/1,970.19
  6. Step 6: Final answer
    x = 1,689.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.