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Finding the Fourth Proportional to 3,411.84, 4,708.09 and 1,919.47

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Solution

The fourth proportional to 3,411.84, 4,708.09 and 1,919.47 is: 2,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.84 : 4,708.09 = 1,919.47 : x
  2. Step 2: Convert to fraction form
    3,411.84/4,708.09 = 1,919.47/x
  3. Step 3: Cross multiply
    3,411.84x = 4,708.09 × 1,919.47
  4. Step 4: Simplify right side
    3,411.84x = 9,037,037.51
  5. Step 5: Solve for x
    x = 9,037,037.51/3,411.84
  6. Step 6: Final answer
    x = 2,648.73

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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.