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Finding the Fourth Proportional to 9,009.12, 13,509.27 and 3,164.88

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Solution

The fourth proportional to 9,009.12, 13,509.27 and 3,164.88 is: 4,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.12 : 13,509.27 = 3,164.88 : x
  2. Step 2: Convert to fraction form
    9,009.12/13,509.27 = 3,164.88/x
  3. Step 3: Cross multiply
    9,009.12x = 13,509.27 × 3,164.88
  4. Step 4: Simplify right side
    9,009.12x = 42,755,218.44
  5. Step 5: Solve for x
    x = 42,755,218.44/9,009.12
  6. Step 6: Final answer
    x = 4,745.77

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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.