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Finding the Fourth Proportional to 15,811.03, 23,715.69 and 8,019.64

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Solution

The fourth proportional to 15,811.03, 23,715.69 and 8,019.64 is: 12,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.03 : 23,715.69 = 8,019.64 : x
  2. Step 2: Convert to fraction form
    15,811.03/23,715.69 = 8,019.64/x
  3. Step 3: Cross multiply
    15,811.03x = 23,715.69 × 8,019.64
  4. Step 4: Simplify right side
    15,811.03x = 190,191,296.15
  5. Step 5: Solve for x
    x = 190,191,296.15/15,811.03
  6. Step 6: Final answer
    x = 12,029.03

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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.