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Finding the Fourth Proportional to 25,847.12, 38,770.68 and 7,379.12

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Solution

The fourth proportional to 25,847.12, 38,770.68 and 7,379.12 is: 11,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.12 : 38,770.68 = 7,379.12 : x
  2. Step 2: Convert to fraction form
    25,847.12/38,770.68 = 7,379.12/x
  3. Step 3: Cross multiply
    25,847.12x = 38,770.68 × 7,379.12
  4. Step 4: Simplify right side
    25,847.12x = 286,093,306.35
  5. Step 5: Solve for x
    x = 286,093,306.35/25,847.12
  6. Step 6: Final answer
    x = 11,068.67

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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.