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Finding the Fourth Proportional to 3,089, 4,636.74 and 1,857.80

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Solution

The fourth proportional to 3,089, 4,636.74 and 1,857.80 is: 2,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089 : 4,636.74 = 1,857.80 : x
  2. Step 2: Convert to fraction form
    3,089/4,636.74 = 1,857.80/x
  3. Step 3: Cross multiply
    3,089x = 4,636.74 × 1,857.80
  4. Step 4: Simplify right side
    3,089x = 8,614,135.57
  5. Step 5: Solve for x
    x = 8,614,135.57/3,089
  6. Step 6: Final answer
    x = 2,788.65

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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.