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Finding the Fourth Proportional to 8,955.88, 13,431.90 and 3,409

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Solution

The fourth proportional to 8,955.88, 13,431.90 and 3,409 is: 5,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.88 : 13,431.90 = 3,409 : x
  2. Step 2: Convert to fraction form
    8,955.88/13,431.90 = 3,409/x
  3. Step 3: Cross multiply
    8,955.88x = 13,431.90 × 3,409
  4. Step 4: Simplify right side
    8,955.88x = 45,789,347.10
  5. Step 5: Solve for x
    x = 45,789,347.10/8,955.88
  6. Step 6: Final answer
    x = 5,112.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.