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Finding the Fourth Proportional to 7,729.74, 11,595.42 and 3,347.64

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Solution

The fourth proportional to 7,729.74, 11,595.42 and 3,347.64 is: 5,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.74 : 11,595.42 = 3,347.64 : x
  2. Step 2: Convert to fraction form
    7,729.74/11,595.42 = 3,347.64/x
  3. Step 3: Cross multiply
    7,729.74x = 11,595.42 × 3,347.64
  4. Step 4: Simplify right side
    7,729.74x = 38,817,291.81
  5. Step 5: Solve for x
    x = 38,817,291.81/7,729.74
  6. Step 6: Final answer
    x = 5,021.81

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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.