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Finding the Fourth Proportional to 6,519.77, 9,779.73 and 4,312.73

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Solution

The fourth proportional to 6,519.77, 9,779.73 and 4,312.73 is: 6,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.77 : 9,779.73 = 4,312.73 : x
  2. Step 2: Convert to fraction form
    6,519.77/9,779.73 = 4,312.73/x
  3. Step 3: Cross multiply
    6,519.77x = 9,779.73 × 4,312.73
  4. Step 4: Simplify right side
    6,519.77x = 42,177,286.06
  5. Step 5: Solve for x
    x = 42,177,286.06/6,519.77
  6. Step 6: Final answer
    x = 6,469.14

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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.