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Finding the Fourth Proportional to 12,965.27, 19,446.08 and 7,400.57

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Solution

The fourth proportional to 12,965.27, 19,446.08 and 7,400.57 is: 11,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.27 : 19,446.08 = 7,400.57 : x
  2. Step 2: Convert to fraction form
    12,965.27/19,446.08 = 7,400.57/x
  3. Step 3: Cross multiply
    12,965.27x = 19,446.08 × 7,400.57
  4. Step 4: Simplify right side
    12,965.27x = 143,911,942.03
  5. Step 5: Solve for x
    x = 143,911,942.03/12,965.27
  6. Step 6: Final answer
    x = 11,099.81

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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.