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Finding the Fourth Proportional to 36,515.76, 54,782.76 and 19,871.28

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Solution

The fourth proportional to 36,515.76, 54,782.76 and 19,871.28 is: 29,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,515.76 : 54,782.76 = 19,871.28 : x
  2. Step 2: Convert to fraction form
    36,515.76/54,782.76 = 19,871.28/x
  3. Step 3: Cross multiply
    36,515.76x = 54,782.76 × 19,871.28
  4. Step 4: Simplify right side
    36,515.76x = 1,088,603,563.13
  5. Step 5: Solve for x
    x = 1,088,603,563.13/36,515.76
  6. Step 6: Final answer
    x = 29,811.88

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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.