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Finding the Fourth Proportional to 25,857.13, 38,787.93 and 7,137.17

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Solution

The fourth proportional to 25,857.13, 38,787.93 and 7,137.17 is: 10,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.13 : 38,787.93 = 7,137.17 : x
  2. Step 2: Convert to fraction form
    25,857.13/38,787.93 = 7,137.17/x
  3. Step 3: Cross multiply
    25,857.13x = 38,787.93 × 7,137.17
  4. Step 4: Simplify right side
    25,857.13x = 276,836,111.64
  5. Step 5: Solve for x
    x = 276,836,111.64/25,857.13
  6. Step 6: Final answer
    x = 10,706.37

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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.