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Finding the Fourth Proportional to 9,320.63, 13,984.02 and 3,778.64

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Solution

The fourth proportional to 9,320.63, 13,984.02 and 3,778.64 is: 5,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.63 : 13,984.02 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    9,320.63/13,984.02 = 3,778.64/x
  3. Step 3: Cross multiply
    9,320.63x = 13,984.02 × 3,778.64
  4. Step 4: Simplify right side
    9,320.63x = 52,840,507.41
  5. Step 5: Solve for x
    x = 52,840,507.41/9,320.63
  6. Step 6: Final answer
    x = 5,669.20

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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.