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Finding the Fourth Proportional to 25,546, 38,319 and 7,078

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Solution

The fourth proportional to 25,546, 38,319 and 7,078 is: 10,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546 : 38,319 = 7,078 : x
  2. Step 2: Convert to fraction form
    25,546/38,319 = 7,078/x
  3. Step 3: Cross multiply
    25,546x = 38,319 × 7,078
  4. Step 4: Simplify right side
    25,546x = 271,221,882
  5. Step 5: Solve for x
    x = 271,221,882/25,546
  6. Step 6: Final answer
    x = 10,617

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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.