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Finding the Fourth Proportional to 13,095, 18,072.92 and 8,389.31

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Solution

The fourth proportional to 13,095, 18,072.92 and 8,389.31 is: 11,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095 : 18,072.92 = 8,389.31 : x
  2. Step 2: Convert to fraction form
    13,095/18,072.92 = 8,389.31/x
  3. Step 3: Cross multiply
    13,095x = 18,072.92 × 8,389.31
  4. Step 4: Simplify right side
    13,095x = 151,619,259.09
  5. Step 5: Solve for x
    x = 151,619,259.09/13,095
  6. Step 6: Final answer
    x = 11,578.41

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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.