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Finding the Fourth Proportional to 36,804.61, 55,205.79 and 10,509.40

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Solution

The fourth proportional to 36,804.61, 55,205.79 and 10,509.40 is: 15,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,804.61 : 55,205.79 = 10,509.40 : x
  2. Step 2: Convert to fraction form
    36,804.61/55,205.79 = 10,509.40/x
  3. Step 3: Cross multiply
    36,804.61x = 55,205.79 × 10,509.40
  4. Step 4: Simplify right side
    36,804.61x = 580,179,729.43
  5. Step 5: Solve for x
    x = 580,179,729.43/36,804.61
  6. Step 6: Final answer
    x = 15,763.78

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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.