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Finding the Fourth Proportional to 13,171, 19,765.09 and 4,851.10

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Solution

The fourth proportional to 13,171, 19,765.09 and 4,851.10 is: 7,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171 : 19,765.09 = 4,851.10 : x
  2. Step 2: Convert to fraction form
    13,171/19,765.09 = 4,851.10/x
  3. Step 3: Cross multiply
    13,171x = 19,765.09 × 4,851.10
  4. Step 4: Simplify right side
    13,171x = 95,882,428.10
  5. Step 5: Solve for x
    x = 95,882,428.10/13,171
  6. Step 6: Final answer
    x = 7,279.81

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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.