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Finding the Fourth Proportional to 13,002.13, 19,495 and 5,501.80

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Solution

The fourth proportional to 13,002.13, 19,495 and 5,501.80 is: 8,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.13 : 19,495 = 5,501.80 : x
  2. Step 2: Convert to fraction form
    13,002.13/19,495 = 5,501.80/x
  3. Step 3: Cross multiply
    13,002.13x = 19,495 × 5,501.80
  4. Step 4: Simplify right side
    13,002.13x = 107,257,591
  5. Step 5: Solve for x
    x = 107,257,591/13,002.13
  6. Step 6: Final answer
    x = 8,249.23

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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.