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Finding the Fourth Proportional to 3,411.81, 5,117.71 and 1,949.93

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Solution

The fourth proportional to 3,411.81, 5,117.71 and 1,949.93 is: 2,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.81 : 5,117.71 = 1,949.93 : x
  2. Step 2: Convert to fraction form
    3,411.81/5,117.71 = 1,949.93/x
  3. Step 3: Cross multiply
    3,411.81x = 5,117.71 × 1,949.93
  4. Step 4: Simplify right side
    3,411.81x = 9,979,186.04
  5. Step 5: Solve for x
    x = 9,979,186.04/3,411.81
  6. Step 6: Final answer
    x = 2,924.90

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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.