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Finding the Fourth Proportional to 15,503.50, 23,255.27 and 7,178.98

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Solution

The fourth proportional to 15,503.50, 23,255.27 and 7,178.98 is: 10,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.50 : 23,255.27 = 7,178.98 : x
  2. Step 2: Convert to fraction form
    15,503.50/23,255.27 = 7,178.98/x
  3. Step 3: Cross multiply
    15,503.50x = 23,255.27 × 7,178.98
  4. Step 4: Simplify right side
    15,503.50x = 166,949,118.22
  5. Step 5: Solve for x
    x = 166,949,118.22/15,503.50
  6. Step 6: Final answer
    x = 10,768.48

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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.