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Finding the Fourth Proportional to 13,101.60, 19,576.68 and 11,028

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Solution

The fourth proportional to 13,101.60, 19,576.68 and 11,028 is: 16,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.60 : 19,576.68 = 11,028 : x
  2. Step 2: Convert to fraction form
    13,101.60/19,576.68 = 11,028/x
  3. Step 3: Cross multiply
    13,101.60x = 19,576.68 × 11,028
  4. Step 4: Simplify right side
    13,101.60x = 215,891,627.04
  5. Step 5: Solve for x
    x = 215,891,627.04/13,101.60
  6. Step 6: Final answer
    x = 16,478.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.