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Finding the Fourth Proportional to 11,900.48, 17,850 and 3,135.38

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Solution

The fourth proportional to 11,900.48, 17,850 and 3,135.38 is: 4,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.48 : 17,850 = 3,135.38 : x
  2. Step 2: Convert to fraction form
    11,900.48/17,850 = 3,135.38/x
  3. Step 3: Cross multiply
    11,900.48x = 17,850 × 3,135.38
  4. Step 4: Simplify right side
    11,900.48x = 55,966,533
  5. Step 5: Solve for x
    x = 55,966,533/11,900.48
  6. Step 6: Final answer
    x = 4,702.88

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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.