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Finding the Fourth Proportional to 6,505.94, 9,739.71 and 6,419.54

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Solution

The fourth proportional to 6,505.94, 9,739.71 and 6,419.54 is: 9,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.94 : 9,739.71 = 6,419.54 : x
  2. Step 2: Convert to fraction form
    6,505.94/9,739.71 = 6,419.54/x
  3. Step 3: Cross multiply
    6,505.94x = 9,739.71 × 6,419.54
  4. Step 4: Simplify right side
    6,505.94x = 62,524,457.93
  5. Step 5: Solve for x
    x = 62,524,457.93/6,505.94
  6. Step 6: Final answer
    x = 9,610.36

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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.