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Finding the Fourth Proportional to 25,930, 35,787.72 and 19,631.44

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Solution

The fourth proportional to 25,930, 35,787.72 and 19,631.44 is: 27,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930 : 35,787.72 = 19,631.44 : x
  2. Step 2: Convert to fraction form
    25,930/35,787.72 = 19,631.44/x
  3. Step 3: Cross multiply
    25,930x = 35,787.72 × 19,631.44
  4. Step 4: Simplify right side
    25,930x = 702,564,477.92
  5. Step 5: Solve for x
    x = 702,564,477.92/25,930
  6. Step 6: Final answer
    x = 27,094.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.