Home / 1,422.84-1,965.46-1,204.14

Finding the Fourth Proportional to 1,422.84, 1,965.46 and 1,204.14

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Solution

The fourth proportional to 1,422.84, 1,965.46 and 1,204.14 is: 1,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 1,965.46 = 1,204.14 : x
  2. Step 2: Convert to fraction form
    1,422.84/1,965.46 = 1,204.14/x
  3. Step 3: Cross multiply
    1,422.84x = 1,965.46 × 1,204.14
  4. Step 4: Simplify right side
    1,422.84x = 2,366,689.00
  5. Step 5: Solve for x
    x = 2,366,689.00/1,422.84
  6. Step 6: Final answer
    x = 1,663.36

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1.5x scale

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.