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Finding the Fourth Proportional to 2,911.09, 4,017.09 and 1,731.94

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Solution

The fourth proportional to 2,911.09, 4,017.09 and 1,731.94 is: 2,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.09 : 4,017.09 = 1,731.94 : x
  2. Step 2: Convert to fraction form
    2,911.09/4,017.09 = 1,731.94/x
  3. Step 3: Cross multiply
    2,911.09x = 4,017.09 × 1,731.94
  4. Step 4: Simplify right side
    2,911.09x = 6,957,358.85
  5. Step 5: Solve for x
    x = 6,957,358.85/2,911.09
  6. Step 6: Final answer
    x = 2,389.95

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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.