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Finding the Fourth Proportional to 9,791.79, 14,688.25 and 2,771.21

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Solution

The fourth proportional to 9,791.79, 14,688.25 and 2,771.21 is: 4,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.79 : 14,688.25 = 2,771.21 : x
  2. Step 2: Convert to fraction form
    9,791.79/14,688.25 = 2,771.21/x
  3. Step 3: Cross multiply
    9,791.79x = 14,688.25 × 2,771.21
  4. Step 4: Simplify right side
    9,791.79x = 40,704,262.00
  5. Step 5: Solve for x
    x = 40,704,262.00/9,791.79
  6. Step 6: Final answer
    x = 4,156.98

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1.5x scale

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.