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Finding the Fourth Proportional to 9,380.16, 13,986.48 and 8,349.84

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Solution

The fourth proportional to 9,380.16, 13,986.48 and 8,349.84 is: 12,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.16 : 13,986.48 = 8,349.84 : x
  2. Step 2: Convert to fraction form
    9,380.16/13,986.48 = 8,349.84/x
  3. Step 3: Cross multiply
    9,380.16x = 13,986.48 × 8,349.84
  4. Step 4: Simplify right side
    9,380.16x = 116,784,870.16
  5. Step 5: Solve for x
    x = 116,784,870.16/9,380.16
  6. Step 6: Final answer
    x = 12,450.20

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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.