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Finding the Fourth Proportional to 25,078, 34,607.64 and 13,900

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Solution

The fourth proportional to 25,078, 34,607.64 and 13,900 is: 19,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078 : 34,607.64 = 13,900 : x
  2. Step 2: Convert to fraction form
    25,078/34,607.64 = 13,900/x
  3. Step 3: Cross multiply
    25,078x = 34,607.64 × 13,900
  4. Step 4: Simplify right side
    25,078x = 481,046,196
  5. Step 5: Solve for x
    x = 481,046,196/25,078
  6. Step 6: Final answer
    x = 19,182

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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.