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Finding the Fourth Proportional to 9,150, 12,627.54 and 5,171.01

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Solution

The fourth proportional to 9,150, 12,627.54 and 5,171.01 is: 7,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 12,627.54 = 5,171.01 : x
  2. Step 2: Convert to fraction form
    9,150/12,627.54 = 5,171.01/x
  3. Step 3: Cross multiply
    9,150x = 12,627.54 × 5,171.01
  4. Step 4: Simplify right side
    9,150x = 65,297,135.62
  5. Step 5: Solve for x
    x = 65,297,135.62/9,150
  6. Step 6: Final answer
    x = 7,136.30

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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.