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Finding the Fourth Proportional to 25,890.94, 38,838.64 and 7,170.98

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Solution

The fourth proportional to 25,890.94, 38,838.64 and 7,170.98 is: 10,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890.94 : 38,838.64 = 7,170.98 : x
  2. Step 2: Convert to fraction form
    25,890.94/38,838.64 = 7,170.98/x
  3. Step 3: Cross multiply
    25,890.94x = 38,838.64 × 7,170.98
  4. Step 4: Simplify right side
    25,890.94x = 278,511,130.46
  5. Step 5: Solve for x
    x = 278,511,130.46/25,890.94
  6. Step 6: Final answer
    x = 10,757.09

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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.