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Finding the Fourth Proportional to 25,675, 38,518.99 and 7,207

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Solution

The fourth proportional to 25,675, 38,518.99 and 7,207 is: 10,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675 : 38,518.99 = 7,207 : x
  2. Step 2: Convert to fraction form
    25,675/38,518.99 = 7,207/x
  3. Step 3: Cross multiply
    25,675x = 38,518.99 × 7,207
  4. Step 4: Simplify right side
    25,675x = 277,606,360.93
  5. Step 5: Solve for x
    x = 277,606,360.93/25,675
  6. Step 6: Final answer
    x = 10,812.32

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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.