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Finding the Fourth Proportional to 9,782.88, 14,654.49 and 7,811.84

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Solution

The fourth proportional to 9,782.88, 14,654.49 and 7,811.84 is: 11,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.88 : 14,654.49 = 7,811.84 : x
  2. Step 2: Convert to fraction form
    9,782.88/14,654.49 = 7,811.84/x
  3. Step 3: Cross multiply
    9,782.88x = 14,654.49 × 7,811.84
  4. Step 4: Simplify right side
    9,782.88x = 114,478,604.42
  5. Step 5: Solve for x
    x = 114,478,604.42/9,782.88
  6. Step 6: Final answer
    x = 11,701.94

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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.