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Finding the Fourth Proportional to 3,411.63, 4,707.99 and 1,919.54

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Solution

The fourth proportional to 3,411.63, 4,707.99 and 1,919.54 is: 2,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.63 : 4,707.99 = 1,919.54 : x
  2. Step 2: Convert to fraction form
    3,411.63/4,707.99 = 1,919.54/x
  3. Step 3: Cross multiply
    3,411.63x = 4,707.99 × 1,919.54
  4. Step 4: Simplify right side
    3,411.63x = 9,037,165.53
  5. Step 5: Solve for x
    x = 9,037,165.53/3,411.63
  6. Step 6: Final answer
    x = 2,648.93

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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.