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Finding the Fourth Proportional to 13,169.47, 18,173.74 and 7,201.07

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Solution

The fourth proportional to 13,169.47, 18,173.74 and 7,201.07 is: 9,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.47 : 18,173.74 = 7,201.07 : x
  2. Step 2: Convert to fraction form
    13,169.47/18,173.74 = 7,201.07/x
  3. Step 3: Cross multiply
    13,169.47x = 18,173.74 × 7,201.07
  4. Step 4: Simplify right side
    13,169.47x = 130,870,337.90
  5. Step 5: Solve for x
    x = 130,870,337.90/13,169.47
  6. Step 6: Final answer
    x = 9,937.41

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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.