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Finding the Fourth Proportional to 36,928, 55,415.04 and 15,040

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Solution

The fourth proportional to 36,928, 55,415.04 and 15,040 is: 22,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,928 : 55,415.04 = 15,040 : x
  2. Step 2: Convert to fraction form
    36,928/55,415.04 = 15,040/x
  3. Step 3: Cross multiply
    36,928x = 55,415.04 × 15,040
  4. Step 4: Simplify right side
    36,928x = 833,442,201.60
  5. Step 5: Solve for x
    x = 833,442,201.60/36,928
  6. Step 6: Final answer
    x = 22,569.38

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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.