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Finding the Fourth Proportional to 7,610.40, 11,400.72 and 6,784.80

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Solution

The fourth proportional to 7,610.40, 11,400.72 and 6,784.80 is: 10,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.40 : 11,400.72 = 6,784.80 : x
  2. Step 2: Convert to fraction form
    7,610.40/11,400.72 = 6,784.80/x
  3. Step 3: Cross multiply
    7,610.40x = 11,400.72 × 6,784.80
  4. Step 4: Simplify right side
    7,610.40x = 77,351,605.06
  5. Step 5: Solve for x
    x = 77,351,605.06/7,610.40
  6. Step 6: Final answer
    x = 10,163.93

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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.