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Finding the Fourth Proportional to 9,309.56, 12,846.21 and 5,330.30

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Solution

The fourth proportional to 9,309.56, 12,846.21 and 5,330.30 is: 7,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.56 : 12,846.21 = 5,330.30 : x
  2. Step 2: Convert to fraction form
    9,309.56/12,846.21 = 5,330.30/x
  3. Step 3: Cross multiply
    9,309.56x = 12,846.21 × 5,330.30
  4. Step 4: Simplify right side
    9,309.56x = 68,474,153.16
  5. Step 5: Solve for x
    x = 68,474,153.16/9,309.56
  6. Step 6: Final answer
    x = 7,355.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.