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Finding the Fourth Proportional to 6,453.45, 9,680.18 and 6,271.20

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Solution

The fourth proportional to 6,453.45, 9,680.18 and 6,271.20 is: 9,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.45 : 9,680.18 = 6,271.20 : x
  2. Step 2: Convert to fraction form
    6,453.45/9,680.18 = 6,271.20/x
  3. Step 3: Cross multiply
    6,453.45x = 9,680.18 × 6,271.20
  4. Step 4: Simplify right side
    6,453.45x = 60,706,313.46
  5. Step 5: Solve for x
    x = 60,706,313.46/6,453.45
  6. Step 6: Final answer
    x = 9,406.80

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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.