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Finding the Fourth Proportional to 1,757.80, 2,423.10 and 1,261.48

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Solution

The fourth proportional to 1,757.80, 2,423.10 and 1,261.48 is: 1,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.80 : 2,423.10 = 1,261.48 : x
  2. Step 2: Convert to fraction form
    1,757.80/2,423.10 = 1,261.48/x
  3. Step 3: Cross multiply
    1,757.80x = 2,423.10 × 1,261.48
  4. Step 4: Simplify right side
    1,757.80x = 3,056,692.19
  5. Step 5: Solve for x
    x = 3,056,692.19/1,757.80
  6. Step 6: Final answer
    x = 1,738.93

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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.