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Finding the Fourth Proportional to 15,903.84, 23,856 and 5,515.80

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Solution

The fourth proportional to 15,903.84, 23,856 and 5,515.80 is: 8,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.84 : 23,856 = 5,515.80 : x
  2. Step 2: Convert to fraction form
    15,903.84/23,856 = 5,515.80/x
  3. Step 3: Cross multiply
    15,903.84x = 23,856 × 5,515.80
  4. Step 4: Simplify right side
    15,903.84x = 131,584,924.80
  5. Step 5: Solve for x
    x = 131,584,924.80/15,903.84
  6. Step 6: Final answer
    x = 8,273.78

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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.