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Finding the Fourth Proportional to 1,993.33, 2,983.65 and 1,507.33

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Solution

The fourth proportional to 1,993.33, 2,983.65 and 1,507.33 is: 2,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.33 : 2,983.65 = 1,507.33 : x
  2. Step 2: Convert to fraction form
    1,993.33/2,983.65 = 1,507.33/x
  3. Step 3: Cross multiply
    1,993.33x = 2,983.65 × 1,507.33
  4. Step 4: Simplify right side
    1,993.33x = 4,497,345.15
  5. Step 5: Solve for x
    x = 4,497,345.15/1,993.33
  6. Step 6: Final answer
    x = 2,256.20

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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.