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Finding the Fourth Proportional to 11,520.75, 15,899.46 and 6,485.46

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Solution

The fourth proportional to 11,520.75, 15,899.46 and 6,485.46 is: 8,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.75 : 15,899.46 = 6,485.46 : x
  2. Step 2: Convert to fraction form
    11,520.75/15,899.46 = 6,485.46/x
  3. Step 3: Cross multiply
    11,520.75x = 15,899.46 × 6,485.46
  4. Step 4: Simplify right side
    11,520.75x = 103,115,311.85
  5. Step 5: Solve for x
    x = 103,115,311.85/11,520.75
  6. Step 6: Final answer
    x = 8,950.40

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Double scale
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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.