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Finding the Fourth Proportional to 13,921.16, 19,211.64 and 7,634.12

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Solution

The fourth proportional to 13,921.16, 19,211.64 and 7,634.12 is: 10,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.16 : 19,211.64 = 7,634.12 : x
  2. Step 2: Convert to fraction form
    13,921.16/19,211.64 = 7,634.12/x
  3. Step 3: Cross multiply
    13,921.16x = 19,211.64 × 7,634.12
  4. Step 4: Simplify right side
    13,921.16x = 146,663,965.16
  5. Step 5: Solve for x
    x = 146,663,965.16/13,921.16
  6. Step 6: Final answer
    x = 10,535.33

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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.