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Finding the Fourth Proportional to 25,369, 38,053.62 and 8,953

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Solution

The fourth proportional to 25,369, 38,053.62 and 8,953 is: 13,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369 : 38,053.62 = 8,953 : x
  2. Step 2: Convert to fraction form
    25,369/38,053.62 = 8,953/x
  3. Step 3: Cross multiply
    25,369x = 38,053.62 × 8,953
  4. Step 4: Simplify right side
    25,369x = 340,694,059.86
  5. Step 5: Solve for x
    x = 340,694,059.86/25,369
  6. Step 6: Final answer
    x = 13,429.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.