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Finding the Fourth Proportional to 12,543.84, 18,823.09 and 4,753.26

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Solution

The fourth proportional to 12,543.84, 18,823.09 and 4,753.26 is: 7,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.84 : 18,823.09 = 4,753.26 : x
  2. Step 2: Convert to fraction form
    12,543.84/18,823.09 = 4,753.26/x
  3. Step 3: Cross multiply
    12,543.84x = 18,823.09 × 4,753.26
  4. Step 4: Simplify right side
    12,543.84x = 89,471,040.77
  5. Step 5: Solve for x
    x = 89,471,040.77/12,543.84
  6. Step 6: Final answer
    x = 7,132.67

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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.