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Finding the Fourth Proportional to 25,387, 38,080.50 and 6,919

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Solution

The fourth proportional to 25,387, 38,080.50 and 6,919 is: 10,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,387 : 38,080.50 = 6,919 : x
  2. Step 2: Convert to fraction form
    25,387/38,080.50 = 6,919/x
  3. Step 3: Cross multiply
    25,387x = 38,080.50 × 6,919
  4. Step 4: Simplify right side
    25,387x = 263,478,979.50
  5. Step 5: Solve for x
    x = 263,478,979.50/25,387
  6. Step 6: Final answer
    x = 10,378.50

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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.