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Finding the Fourth Proportional to 20,846.64, 31,248.04 and 7,690.64

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Solution

The fourth proportional to 20,846.64, 31,248.04 and 7,690.64 is: 11,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.64 : 31,248.04 = 7,690.64 : x
  2. Step 2: Convert to fraction form
    20,846.64/31,248.04 = 7,690.64/x
  3. Step 3: Cross multiply
    20,846.64x = 31,248.04 × 7,690.64
  4. Step 4: Simplify right side
    20,846.64x = 240,317,426.35
  5. Step 5: Solve for x
    x = 240,317,426.35/20,846.64
  6. Step 6: Final answer
    x = 11,527.87

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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.