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Finding the Fourth Proportional to 20,477.72, 30,726.48 and 9,956.72

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Solution

The fourth proportional to 20,477.72, 30,726.48 and 9,956.72 is: 14,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.72 : 30,726.48 = 9,956.72 : x
  2. Step 2: Convert to fraction form
    20,477.72/30,726.48 = 9,956.72/x
  3. Step 3: Cross multiply
    20,477.72x = 30,726.48 × 9,956.72
  4. Step 4: Simplify right side
    20,477.72x = 305,934,957.95
  5. Step 5: Solve for x
    x = 305,934,957.95/20,477.72
  6. Step 6: Final answer
    x = 14,939.89

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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.