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Finding the Fourth Proportional to 1,586.36, 2,189.16 and 887.73

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Solution

The fourth proportional to 1,586.36, 2,189.16 and 887.73 is: 1,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.36 : 2,189.16 = 887.73 : x
  2. Step 2: Convert to fraction form
    1,586.36/2,189.16 = 887.73/x
  3. Step 3: Cross multiply
    1,586.36x = 2,189.16 × 887.73
  4. Step 4: Simplify right side
    1,586.36x = 1,943,383.01
  5. Step 5: Solve for x
    x = 1,943,383.01/1,586.36
  6. Step 6: Final answer
    x = 1,225.06

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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.