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Finding the Fourth Proportional to 1,261.56, 1,903.64 and 1,211.00

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Solution

The fourth proportional to 1,261.56, 1,903.64 and 1,211.00 is: 1,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.56 : 1,903.64 = 1,211.00 : x
  2. Step 2: Convert to fraction form
    1,261.56/1,903.64 = 1,211.00/x
  3. Step 3: Cross multiply
    1,261.56x = 1,903.64 × 1,211.00
  4. Step 4: Simplify right side
    1,261.56x = 2,305,292.47
  5. Step 5: Solve for x
    x = 2,305,292.47/1,261.56
  6. Step 6: Final answer
    x = 1,827.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.