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Finding the Fourth Proportional to 13,270.77, 18,314.09 and 7,303.09

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Solution

The fourth proportional to 13,270.77, 18,314.09 and 7,303.09 is: 10,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.77 : 18,314.09 = 7,303.09 : x
  2. Step 2: Convert to fraction form
    13,270.77/18,314.09 = 7,303.09/x
  3. Step 3: Cross multiply
    13,270.77x = 18,314.09 × 7,303.09
  4. Step 4: Simplify right side
    13,270.77x = 133,749,447.54
  5. Step 5: Solve for x
    x = 133,749,447.54/13,270.77
  6. Step 6: Final answer
    x = 10,078.50

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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.