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Finding the Fourth Proportional to 13,952.92, 19,255.71 and 7,665.43

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Solution

The fourth proportional to 13,952.92, 19,255.71 and 7,665.43 is: 10,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.92 : 19,255.71 = 7,665.43 : x
  2. Step 2: Convert to fraction form
    13,952.92/19,255.71 = 7,665.43/x
  3. Step 3: Cross multiply
    13,952.92x = 19,255.71 × 7,665.43
  4. Step 4: Simplify right side
    13,952.92x = 147,603,297.11
  5. Step 5: Solve for x
    x = 147,603,297.11/13,952.92
  6. Step 6: Final answer
    x = 10,578.67

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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.