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Finding the Fourth Proportional to 12,551.84, 18,840 and 5,982.56

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Solution

The fourth proportional to 12,551.84, 18,840 and 5,982.56 is: 8,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.84 : 18,840 = 5,982.56 : x
  2. Step 2: Convert to fraction form
    12,551.84/18,840 = 5,982.56/x
  3. Step 3: Cross multiply
    12,551.84x = 18,840 × 5,982.56
  4. Step 4: Simplify right side
    12,551.84x = 112,711,430.40
  5. Step 5: Solve for x
    x = 112,711,430.40/12,551.84
  6. Step 6: Final answer
    x = 8,979.67

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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.