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Finding the Fourth Proportional to 3,404.66, 5,106.99 and 939.40

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Solution

The fourth proportional to 3,404.66, 5,106.99 and 939.40 is: 1,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.66 : 5,106.99 = 939.40 : x
  2. Step 2: Convert to fraction form
    3,404.66/5,106.99 = 939.40/x
  3. Step 3: Cross multiply
    3,404.66x = 5,106.99 × 939.40
  4. Step 4: Simplify right side
    3,404.66x = 4,797,506.41
  5. Step 5: Solve for x
    x = 4,797,506.41/3,404.66
  6. Step 6: Final answer
    x = 1,409.10

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1.5x scale

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.