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Finding the Fourth Proportional to 9,157.05, 13,729.50 and 7,404.21

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Solution

The fourth proportional to 9,157.05, 13,729.50 and 7,404.21 is: 11,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.05 : 13,729.50 = 7,404.21 : x
  2. Step 2: Convert to fraction form
    9,157.05/13,729.50 = 7,404.21/x
  3. Step 3: Cross multiply
    9,157.05x = 13,729.50 × 7,404.21
  4. Step 4: Simplify right side
    9,157.05x = 101,656,101.20
  5. Step 5: Solve for x
    x = 101,656,101.20/9,157.05
  6. Step 6: Final answer
    x = 11,101.40

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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.