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Finding the Fourth Proportional to 13,097, 18,074.02 and 7,209

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Solution

The fourth proportional to 13,097, 18,074.02 and 7,209 is: 9,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097 : 18,074.02 = 7,209 : x
  2. Step 2: Convert to fraction form
    13,097/18,074.02 = 7,209/x
  3. Step 3: Cross multiply
    13,097x = 18,074.02 × 7,209
  4. Step 4: Simplify right side
    13,097x = 130,295,610.18
  5. Step 5: Solve for x
    x = 130,295,610.18/13,097
  6. Step 6: Final answer
    x = 9,948.51

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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.