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Finding the Fourth Proportional to 13,028.31, 17,962.16 and 8,304.39

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Solution

The fourth proportional to 13,028.31, 17,962.16 and 8,304.39 is: 11,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.31 : 17,962.16 = 8,304.39 : x
  2. Step 2: Convert to fraction form
    13,028.31/17,962.16 = 8,304.39/x
  3. Step 3: Cross multiply
    13,028.31x = 17,962.16 × 8,304.39
  4. Step 4: Simplify right side
    13,028.31x = 149,164,740.36
  5. Step 5: Solve for x
    x = 149,164,740.36/13,028.31
  6. Step 6: Final answer
    x = 11,449.28

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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.