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Finding the Fourth Proportional to 20,316.78, 30,472.08 and 7,842.72

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Solution

The fourth proportional to 20,316.78, 30,472.08 and 7,842.72 is: 11,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.78 : 30,472.08 = 7,842.72 : x
  2. Step 2: Convert to fraction form
    20,316.78/30,472.08 = 7,842.72/x
  3. Step 3: Cross multiply
    20,316.78x = 30,472.08 × 7,842.72
  4. Step 4: Simplify right side
    20,316.78x = 238,983,991.26
  5. Step 5: Solve for x
    x = 238,983,991.26/20,316.78
  6. Step 6: Final answer
    x = 11,762.89

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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.