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Finding the Fourth Proportional to 19,917, 27,487.29 and 10,966.32

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Solution

The fourth proportional to 19,917, 27,487.29 and 10,966.32 is: 15,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917 : 27,487.29 = 10,966.32 : x
  2. Step 2: Convert to fraction form
    19,917/27,487.29 = 10,966.32/x
  3. Step 3: Cross multiply
    19,917x = 27,487.29 × 10,966.32
  4. Step 4: Simplify right side
    19,917x = 301,434,418.07
  5. Step 5: Solve for x
    x = 301,434,418.07/19,917
  6. Step 6: Final answer
    x = 15,134.53

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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.