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Finding the Fourth Proportional to 8,525.99, 12,780.63 and 4,082.40

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Solution

The fourth proportional to 8,525.99, 12,780.63 and 4,082.40 is: 6,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.99 : 12,780.63 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    8,525.99/12,780.63 = 4,082.40/x
  3. Step 3: Cross multiply
    8,525.99x = 12,780.63 × 4,082.40
  4. Step 4: Simplify right side
    8,525.99x = 52,175,559.60
  5. Step 5: Solve for x
    x = 52,175,559.60/8,525.99
  6. Step 6: Final answer
    x = 6,119.59

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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.