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Finding the Fourth Proportional to 6,450.99, 9,661.86 and 5,284.59

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Solution

The fourth proportional to 6,450.99, 9,661.86 and 5,284.59 is: 7,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.99 : 9,661.86 = 5,284.59 : x
  2. Step 2: Convert to fraction form
    6,450.99/9,661.86 = 5,284.59/x
  3. Step 3: Cross multiply
    6,450.99x = 9,661.86 × 5,284.59
  4. Step 4: Simplify right side
    6,450.99x = 51,058,968.74
  5. Step 5: Solve for x
    x = 51,058,968.74/6,450.99
  6. Step 6: Final answer
    x = 7,914.90

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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.