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Finding the Fourth Proportional to 9,501.12, 13,115.20 and 8,504.64

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Solution

The fourth proportional to 9,501.12, 13,115.20 and 8,504.64 is: 11,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.12 : 13,115.20 = 8,504.64 : x
  2. Step 2: Convert to fraction form
    9,501.12/13,115.20 = 8,504.64/x
  3. Step 3: Cross multiply
    9,501.12x = 13,115.20 × 8,504.64
  4. Step 4: Simplify right side
    9,501.12x = 111,540,054.53
  5. Step 5: Solve for x
    x = 111,540,054.53/9,501.12
  6. Step 6: Final answer
    x = 11,739.67

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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.