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Finding the Fourth Proportional to 20,807, 31,191.96 and 7,656.20

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Solution

The fourth proportional to 20,807, 31,191.96 and 7,656.20 is: 11,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807 : 31,191.96 = 7,656.20 : x
  2. Step 2: Convert to fraction form
    20,807/31,191.96 = 7,656.20/x
  3. Step 3: Cross multiply
    20,807x = 31,191.96 × 7,656.20
  4. Step 4: Simplify right side
    20,807x = 238,811,884.15
  5. Step 5: Solve for x
    x = 238,811,884.15/20,807
  6. Step 6: Final answer
    x = 11,477.48

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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.