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Finding the Fourth Proportional to 2,133.66, 2,942.43 and 1,692.63

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Solution

The fourth proportional to 2,133.66, 2,942.43 and 1,692.63 is: 2,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.66 : 2,942.43 = 1,692.63 : x
  2. Step 2: Convert to fraction form
    2,133.66/2,942.43 = 1,692.63/x
  3. Step 3: Cross multiply
    2,133.66x = 2,942.43 × 1,692.63
  4. Step 4: Simplify right side
    2,133.66x = 4,980,445.29
  5. Step 5: Solve for x
    x = 4,980,445.29/2,133.66
  6. Step 6: Final answer
    x = 2,334.23

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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.