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Finding the Fourth Proportional to 25,760, 38,640 and 7,292

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Solution

The fourth proportional to 25,760, 38,640 and 7,292 is: 10,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 38,640 = 7,292 : x
  2. Step 2: Convert to fraction form
    25,760/38,640 = 7,292/x
  3. Step 3: Cross multiply
    25,760x = 38,640 × 7,292
  4. Step 4: Simplify right side
    25,760x = 281,762,880
  5. Step 5: Solve for x
    x = 281,762,880/25,760
  6. Step 6: Final answer
    x = 10,938

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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.