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Finding the Fourth Proportional to 3,438.86, 4,745.74 and 1,946.75

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Solution

The fourth proportional to 3,438.86, 4,745.74 and 1,946.75 is: 2,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.86 : 4,745.74 = 1,946.75 : x
  2. Step 2: Convert to fraction form
    3,438.86/4,745.74 = 1,946.75/x
  3. Step 3: Cross multiply
    3,438.86x = 4,745.74 × 1,946.75
  4. Step 4: Simplify right side
    3,438.86x = 9,238,770.71
  5. Step 5: Solve for x
    x = 9,238,770.71/3,438.86
  6. Step 6: Final answer
    x = 2,686.58

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1.5x scale

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.