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Finding the Fourth Proportional to 7,713.70, 11,570.55 and 6,871.30

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Solution

The fourth proportional to 7,713.70, 11,570.55 and 6,871.30 is: 10,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.70 : 11,570.55 = 6,871.30 : x
  2. Step 2: Convert to fraction form
    7,713.70/11,570.55 = 6,871.30/x
  3. Step 3: Cross multiply
    7,713.70x = 11,570.55 × 6,871.30
  4. Step 4: Simplify right side
    7,713.70x = 79,504,720.22
  5. Step 5: Solve for x
    x = 79,504,720.22/7,713.70
  6. Step 6: Final answer
    x = 10,306.95

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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.