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Finding the Fourth Proportional to 13,065.57, 18,030.47 and 7,097.36

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Solution

The fourth proportional to 13,065.57, 18,030.47 and 7,097.36 is: 9,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.57 : 18,030.47 = 7,097.36 : x
  2. Step 2: Convert to fraction form
    13,065.57/18,030.47 = 7,097.36/x
  3. Step 3: Cross multiply
    13,065.57x = 18,030.47 × 7,097.36
  4. Step 4: Simplify right side
    13,065.57x = 127,968,610.92
  5. Step 5: Solve for x
    x = 127,968,610.92/13,065.57
  6. Step 6: Final answer
    x = 9,794.34

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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.