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Finding the Fourth Proportional to 7,729.80, 11,595.51 and 3,347.70

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Solution

The fourth proportional to 7,729.80, 11,595.51 and 3,347.70 is: 5,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 11,595.51 = 3,347.70 : x
  2. Step 2: Convert to fraction form
    7,729.80/11,595.51 = 3,347.70/x
  3. Step 3: Cross multiply
    7,729.80x = 11,595.51 × 3,347.70
  4. Step 4: Simplify right side
    7,729.80x = 38,818,288.83
  5. Step 5: Solve for x
    x = 38,818,288.83/7,729.80
  6. Step 6: Final answer
    x = 5,021.90

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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.