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Finding the Fourth Proportional to 3,430.90, 4,734.78 and 1,939

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Solution

The fourth proportional to 3,430.90, 4,734.78 and 1,939 is: 2,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.90 : 4,734.78 = 1,939 : x
  2. Step 2: Convert to fraction form
    3,430.90/4,734.78 = 1,939/x
  3. Step 3: Cross multiply
    3,430.90x = 4,734.78 × 1,939
  4. Step 4: Simplify right side
    3,430.90x = 9,180,738.42
  5. Step 5: Solve for x
    x = 9,180,738.42/3,430.90
  6. Step 6: Final answer
    x = 2,675.90

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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.