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Finding the Fourth Proportional to 3,411.86, 4,708.17 and 1,919.72

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Solution

The fourth proportional to 3,411.86, 4,708.17 and 1,919.72 is: 2,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.86 : 4,708.17 = 1,919.72 : x
  2. Step 2: Convert to fraction form
    3,411.86/4,708.17 = 1,919.72/x
  3. Step 3: Cross multiply
    3,411.86x = 4,708.17 × 1,919.72
  4. Step 4: Simplify right side
    3,411.86x = 9,038,344.57
  5. Step 5: Solve for x
    x = 9,038,344.57/3,411.86
  6. Step 6: Final answer
    x = 2,649.09

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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.