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Finding the Fourth Proportional to 3,411.14, 4,707.06 and 1,919.12

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Solution

The fourth proportional to 3,411.14, 4,707.06 and 1,919.12 is: 2,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.14 : 4,707.06 = 1,919.12 : x
  2. Step 2: Convert to fraction form
    3,411.14/4,707.06 = 1,919.12/x
  3. Step 3: Cross multiply
    3,411.14x = 4,707.06 × 1,919.12
  4. Step 4: Simplify right side
    3,411.14x = 9,033,412.99
  5. Step 5: Solve for x
    x = 9,033,412.99/3,411.14
  6. Step 6: Final answer
    x = 2,648.21

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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.