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Finding the Fourth Proportional to 36,850, 55,275.36 and 9,148

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Solution

The fourth proportional to 36,850, 55,275.36 and 9,148 is: 13,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850 : 55,275.36 = 9,148 : x
  2. Step 2: Convert to fraction form
    36,850/55,275.36 = 9,148/x
  3. Step 3: Cross multiply
    36,850x = 55,275.36 × 9,148
  4. Step 4: Simplify right side
    36,850x = 505,658,993.28
  5. Step 5: Solve for x
    x = 505,658,993.28/36,850
  6. Step 6: Final answer
    x = 13,722.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.