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Finding the Fourth Proportional to 13,213.76, 19,809.12 and 5,000

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Solution

The fourth proportional to 13,213.76, 19,809.12 and 5,000 is: 7,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.76 : 19,809.12 = 5,000 : x
  2. Step 2: Convert to fraction form
    13,213.76/19,809.12 = 5,000/x
  3. Step 3: Cross multiply
    13,213.76x = 19,809.12 × 5,000
  4. Step 4: Simplify right side
    13,213.76x = 99,045,600
  5. Step 5: Solve for x
    x = 99,045,600/13,213.76
  6. Step 6: Final answer
    x = 7,495.64

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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.