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Finding the Fourth Proportional to 16,790, 25,178.28 and 5,101.04

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Solution

The fourth proportional to 16,790, 25,178.28 and 5,101.04 is: 7,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,790 : 25,178.28 = 5,101.04 : x
  2. Step 2: Convert to fraction form
    16,790/25,178.28 = 5,101.04/x
  3. Step 3: Cross multiply
    16,790x = 25,178.28 × 5,101.04
  4. Step 4: Simplify right side
    16,790x = 128,435,413.41
  5. Step 5: Solve for x
    x = 128,435,413.41/16,790
  6. Step 6: Final answer
    x = 7,649.52

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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.