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Finding the Fourth Proportional to 36,852, 55,278.60 and 13,478.28

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Solution

The fourth proportional to 36,852, 55,278.60 and 13,478.28 is: 20,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852 : 55,278.60 = 13,478.28 : x
  2. Step 2: Convert to fraction form
    36,852/55,278.60 = 13,478.28/x
  3. Step 3: Cross multiply
    36,852x = 55,278.60 × 13,478.28
  4. Step 4: Simplify right side
    36,852x = 745,060,448.81
  5. Step 5: Solve for x
    x = 745,060,448.81/36,852
  6. Step 6: Final answer
    x = 20,217.64

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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.