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Finding the Fourth Proportional to 2,892.10, 3,991.77 and 1,713.70

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Solution

The fourth proportional to 2,892.10, 3,991.77 and 1,713.70 is: 2,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.10 : 3,991.77 = 1,713.70 : x
  2. Step 2: Convert to fraction form
    2,892.10/3,991.77 = 1,713.70/x
  3. Step 3: Cross multiply
    2,892.10x = 3,991.77 × 1,713.70
  4. Step 4: Simplify right side
    2,892.10x = 6,840,696.25
  5. Step 5: Solve for x
    x = 6,840,696.25/2,892.10
  6. Step 6: Final answer
    x = 2,365.30

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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.