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Finding the Fourth Proportional to 11,485.64, 17,218.06 and 7,977.30

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Solution

The fourth proportional to 11,485.64, 17,218.06 and 7,977.30 is: 11,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.64 : 17,218.06 = 7,977.30 : x
  2. Step 2: Convert to fraction form
    11,485.64/17,218.06 = 7,977.30/x
  3. Step 3: Cross multiply
    11,485.64x = 17,218.06 × 7,977.30
  4. Step 4: Simplify right side
    11,485.64x = 137,353,627.42
  5. Step 5: Solve for x
    x = 137,353,627.42/11,485.64
  6. Step 6: Final answer
    x = 11,958.73

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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.