Home / 1,983.56-2,970.40-1,203.92

Finding the Fourth Proportional to 1,983.56, 2,970.40 and 1,203.92

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Solution

The fourth proportional to 1,983.56, 2,970.40 and 1,203.92 is: 1,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.56 : 2,970.40 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    1,983.56/2,970.40 = 1,203.92/x
  3. Step 3: Cross multiply
    1,983.56x = 2,970.40 × 1,203.92
  4. Step 4: Simplify right side
    1,983.56x = 3,576,123.97
  5. Step 5: Solve for x
    x = 3,576,123.97/1,983.56
  6. Step 6: Final answer
    x = 1,802.88

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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.