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Finding the Fourth Proportional to 7,745.80, 10,709.94 and 6,761.68

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Solution

The fourth proportional to 7,745.80, 10,709.94 and 6,761.68 is: 9,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.80 : 10,709.94 = 6,761.68 : x
  2. Step 2: Convert to fraction form
    7,745.80/10,709.94 = 6,761.68/x
  3. Step 3: Cross multiply
    7,745.80x = 10,709.94 × 6,761.68
  4. Step 4: Simplify right side
    7,745.80x = 72,417,187.10
  5. Step 5: Solve for x
    x = 72,417,187.10/7,745.80
  6. Step 6: Final answer
    x = 9,349.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.