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Finding the Fourth Proportional to 13,922, 19,213.16 and 7,955.56

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Solution

The fourth proportional to 13,922, 19,213.16 and 7,955.56 is: 10,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922 : 19,213.16 = 7,955.56 : x
  2. Step 2: Convert to fraction form
    13,922/19,213.16 = 7,955.56/x
  3. Step 3: Cross multiply
    13,922x = 19,213.16 × 7,955.56
  4. Step 4: Simplify right side
    13,922x = 152,851,447.17
  5. Step 5: Solve for x
    x = 152,851,447.17/13,922
  6. Step 6: Final answer
    x = 10,979.13

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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.