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Finding the Fourth Proportional to 20,964.64, 31,427.16 and 7,808.08

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Solution

The fourth proportional to 20,964.64, 31,427.16 and 7,808.08 is: 11,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.64 : 31,427.16 = 7,808.08 : x
  2. Step 2: Convert to fraction form
    20,964.64/31,427.16 = 7,808.08/x
  3. Step 3: Cross multiply
    20,964.64x = 31,427.16 × 7,808.08
  4. Step 4: Simplify right side
    20,964.64x = 245,385,779.45
  5. Step 5: Solve for x
    x = 245,385,779.45/20,964.64
  6. Step 6: Final answer
    x = 11,704.75

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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.