Home / 2,042.20-3,064.56-946.36

Finding the Fourth Proportional to 2,042.20, 3,064.56 and 946.36

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Solution

The fourth proportional to 2,042.20, 3,064.56 and 946.36 is: 1,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.20 : 3,064.56 = 946.36 : x
  2. Step 2: Convert to fraction form
    2,042.20/3,064.56 = 946.36/x
  3. Step 3: Cross multiply
    2,042.20x = 3,064.56 × 946.36
  4. Step 4: Simplify right side
    2,042.20x = 2,900,177.00
  5. Step 5: Solve for x
    x = 2,900,177.00/2,042.20
  6. Step 6: Final answer
    x = 1,420.12

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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.