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Finding the Fourth Proportional to 7,776.99, 11,665.08 and 4,273.74

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Solution

The fourth proportional to 7,776.99, 11,665.08 and 4,273.74 is: 6,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.99 : 11,665.08 = 4,273.74 : x
  2. Step 2: Convert to fraction form
    7,776.99/11,665.08 = 4,273.74/x
  3. Step 3: Cross multiply
    7,776.99x = 11,665.08 × 4,273.74
  4. Step 4: Simplify right side
    7,776.99x = 49,853,519.00
  5. Step 5: Solve for x
    x = 49,853,519.00/7,776.99
  6. Step 6: Final answer
    x = 6,410.39

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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.