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Finding the Fourth Proportional to 2,166.56, 2,989.92 and 1,235

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Solution

The fourth proportional to 2,166.56, 2,989.92 and 1,235 is: 1,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.56 : 2,989.92 = 1,235 : x
  2. Step 2: Convert to fraction form
    2,166.56/2,989.92 = 1,235/x
  3. Step 3: Cross multiply
    2,166.56x = 2,989.92 × 1,235
  4. Step 4: Simplify right side
    2,166.56x = 3,692,551.20
  5. Step 5: Solve for x
    x = 3,692,551.20/2,166.56
  6. Step 6: Final answer
    x = 1,704.34

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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.