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Finding the Fourth Proportional to 12,503.57, 18,721.94 and 6,647.67

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Solution

The fourth proportional to 12,503.57, 18,721.94 and 6,647.67 is: 9,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.57 : 18,721.94 = 6,647.67 : x
  2. Step 2: Convert to fraction form
    12,503.57/18,721.94 = 6,647.67/x
  3. Step 3: Cross multiply
    12,503.57x = 18,721.94 × 6,647.67
  4. Step 4: Simplify right side
    12,503.57x = 124,457,245.64
  5. Step 5: Solve for x
    x = 124,457,245.64/12,503.57
  6. Step 6: Final answer
    x = 9,953.74

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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.