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Finding the Fourth Proportional to 3,402.95, 4,696.18 and 1,911.13

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Solution

The fourth proportional to 3,402.95, 4,696.18 and 1,911.13 is: 2,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.95 : 4,696.18 = 1,911.13 : x
  2. Step 2: Convert to fraction form
    3,402.95/4,696.18 = 1,911.13/x
  3. Step 3: Cross multiply
    3,402.95x = 4,696.18 × 1,911.13
  4. Step 4: Simplify right side
    3,402.95x = 8,974,993.97
  5. Step 5: Solve for x
    x = 8,974,993.97/3,402.95
  6. Step 6: Final answer
    x = 2,637.42

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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.