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Finding the Fourth Proportional to 25,898, 35,739.24 and 14,122

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Solution

The fourth proportional to 25,898, 35,739.24 and 14,122 is: 19,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898 : 35,739.24 = 14,122 : x
  2. Step 2: Convert to fraction form
    25,898/35,739.24 = 14,122/x
  3. Step 3: Cross multiply
    25,898x = 35,739.24 × 14,122
  4. Step 4: Simplify right side
    25,898x = 504,709,547.28
  5. Step 5: Solve for x
    x = 504,709,547.28/25,898
  6. Step 6: Final answer
    x = 19,488.36

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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.