Home / 1,966.95-2,938.46-1,407.22

Finding the Fourth Proportional to 1,966.95, 2,938.46 and 1,407.22

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Solution

The fourth proportional to 1,966.95, 2,938.46 and 1,407.22 is: 2,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.95 : 2,938.46 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    1,966.95/2,938.46 = 1,407.22/x
  3. Step 3: Cross multiply
    1,966.95x = 2,938.46 × 1,407.22
  4. Step 4: Simplify right side
    1,966.95x = 4,135,055.85
  5. Step 5: Solve for x
    x = 4,135,055.85/1,966.95
  6. Step 6: Final answer
    x = 2,102.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.