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Finding the Fourth Proportional to 2,089, 3,134.46 and 790.36

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Solution

The fourth proportional to 2,089, 3,134.46 and 790.36 is: 1,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 3,134.46 = 790.36 : x
  2. Step 2: Convert to fraction form
    2,089/3,134.46 = 790.36/x
  3. Step 3: Cross multiply
    2,089x = 3,134.46 × 790.36
  4. Step 4: Simplify right side
    2,089x = 2,477,351.81
  5. Step 5: Solve for x
    x = 2,477,351.81/2,089
  6. Step 6: Final answer
    x = 1,185.90

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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.