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Finding the Fourth Proportional to 7,216.50, 10,768.91 and 6,438.90

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Solution

The fourth proportional to 7,216.50, 10,768.91 and 6,438.90 is: 9,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.50 : 10,768.91 = 6,438.90 : x
  2. Step 2: Convert to fraction form
    7,216.50/10,768.91 = 6,438.90/x
  3. Step 3: Cross multiply
    7,216.50x = 10,768.91 × 6,438.90
  4. Step 4: Simplify right side
    7,216.50x = 69,339,902.40
  5. Step 5: Solve for x
    x = 69,339,902.40/7,216.50
  6. Step 6: Final answer
    x = 9,608.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.