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Finding the Fourth Proportional to 13,187.80, 19,797.90 and 7,269.40

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Solution

The fourth proportional to 13,187.80, 19,797.90 and 7,269.40 is: 10,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.80 : 19,797.90 = 7,269.40 : x
  2. Step 2: Convert to fraction form
    13,187.80/19,797.90 = 7,269.40/x
  3. Step 3: Cross multiply
    13,187.80x = 19,797.90 × 7,269.40
  4. Step 4: Simplify right side
    13,187.80x = 143,918,854.26
  5. Step 5: Solve for x
    x = 143,918,854.26/13,187.80
  6. Step 6: Final answer
    x = 10,913.03

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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.