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Finding the Fourth Proportional to 12,152.67, 18,187.84 and 7,475.64

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Solution

The fourth proportional to 12,152.67, 18,187.84 and 7,475.64 is: 11,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.67 : 18,187.84 = 7,475.64 : x
  2. Step 2: Convert to fraction form
    12,152.67/18,187.84 = 7,475.64/x
  3. Step 3: Cross multiply
    12,152.67x = 18,187.84 × 7,475.64
  4. Step 4: Simplify right side
    12,152.67x = 135,965,744.22
  5. Step 5: Solve for x
    x = 135,965,744.22/12,152.67
  6. Step 6: Final answer
    x = 11,188.14

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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.