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Finding the Fourth Proportional to 36,960, 55,440 and 14,783.28

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Solution

The fourth proportional to 36,960, 55,440 and 14,783.28 is: 22,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 55,440 = 14,783.28 : x
  2. Step 2: Convert to fraction form
    36,960/55,440 = 14,783.28/x
  3. Step 3: Cross multiply
    36,960x = 55,440 × 14,783.28
  4. Step 4: Simplify right side
    36,960x = 819,585,043.20
  5. Step 5: Solve for x
    x = 819,585,043.20/36,960
  6. Step 6: Final answer
    x = 22,174.92

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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.