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Finding the Fourth Proportional to 24,986, 34,480.78 and 13,808

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Solution

The fourth proportional to 24,986, 34,480.78 and 13,808 is: 19,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,986 : 34,480.78 = 13,808 : x
  2. Step 2: Convert to fraction form
    24,986/34,480.78 = 13,808/x
  3. Step 3: Cross multiply
    24,986x = 34,480.78 × 13,808
  4. Step 4: Simplify right side
    24,986x = 476,110,610.24
  5. Step 5: Solve for x
    x = 476,110,610.24/24,986
  6. Step 6: Final answer
    x = 19,055.10

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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.