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Finding the Fourth Proportional to 2,289, 3,158.01 and 1,403.85

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Solution

The fourth proportional to 2,289, 3,158.01 and 1,403.85 is: 1,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,158.01 = 1,403.85 : x
  2. Step 2: Convert to fraction form
    2,289/3,158.01 = 1,403.85/x
  3. Step 3: Cross multiply
    2,289x = 3,158.01 × 1,403.85
  4. Step 4: Simplify right side
    2,289x = 4,433,372.34
  5. Step 5: Solve for x
    x = 4,433,372.34/2,289
  6. Step 6: Final answer
    x = 1,936.82

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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.