Home / 19,878-27,431.69-10,926.42

Finding the Fourth Proportional to 19,878, 27,431.69 and 10,926.42

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Solution

The fourth proportional to 19,878, 27,431.69 and 10,926.42 is: 15,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878 : 27,431.69 = 10,926.42 : x
  2. Step 2: Convert to fraction form
    19,878/27,431.69 = 10,926.42/x
  3. Step 3: Cross multiply
    19,878x = 27,431.69 × 10,926.42
  4. Step 4: Simplify right side
    19,878x = 299,730,166.25
  5. Step 5: Solve for x
    x = 299,730,166.25/19,878
  6. Step 6: Final answer
    x = 15,078.49

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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.