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Finding the Fourth Proportional to 36,798, 55,205.18 and 13,424.38

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Solution

The fourth proportional to 36,798, 55,205.18 and 13,424.38 is: 20,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 55,205.18 = 13,424.38 : x
  2. Step 2: Convert to fraction form
    36,798/55,205.18 = 13,424.38/x
  3. Step 3: Cross multiply
    36,798x = 55,205.18 × 13,424.38
  4. Step 4: Simplify right side
    36,798x = 741,095,314.29
  5. Step 5: Solve for x
    x = 741,095,314.29/36,798
  6. Step 6: Final answer
    x = 20,139.55

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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.