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Finding the Fourth Proportional to 3,779.84, 5,670.15 and 1,830.57

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Solution

The fourth proportional to 3,779.84, 5,670.15 and 1,830.57 is: 2,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.84 : 5,670.15 = 1,830.57 : x
  2. Step 2: Convert to fraction form
    3,779.84/5,670.15 = 1,830.57/x
  3. Step 3: Cross multiply
    3,779.84x = 5,670.15 × 1,830.57
  4. Step 4: Simplify right side
    3,779.84x = 10,379,606.49
  5. Step 5: Solve for x
    x = 10,379,606.49/3,779.84
  6. Step 6: Final answer
    x = 2,746.05

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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.