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Finding the Fourth Proportional to 7,315.80, 10,986.90 and 6,408.60

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Solution

The fourth proportional to 7,315.80, 10,986.90 and 6,408.60 is: 9,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.80 : 10,986.90 = 6,408.60 : x
  2. Step 2: Convert to fraction form
    7,315.80/10,986.90 = 6,408.60/x
  3. Step 3: Cross multiply
    7,315.80x = 10,986.90 × 6,408.60
  4. Step 4: Simplify right side
    7,315.80x = 70,410,647.34
  5. Step 5: Solve for x
    x = 70,410,647.34/7,315.80
  6. Step 6: Final answer
    x = 9,624.46

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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.