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Finding the Fourth Proportional to 36,509.76, 54,773.76 and 19,865.28

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Solution

The fourth proportional to 36,509.76, 54,773.76 and 19,865.28 is: 29,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.76 : 54,773.76 = 19,865.28 : x
  2. Step 2: Convert to fraction form
    36,509.76/54,773.76 = 19,865.28/x
  3. Step 3: Cross multiply
    36,509.76x = 54,773.76 × 19,865.28
  4. Step 4: Simplify right side
    36,509.76x = 1,088,096,079.05
  5. Step 5: Solve for x
    x = 1,088,096,079.05/36,509.76
  6. Step 6: Final answer
    x = 29,802.88

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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.