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Finding the Fourth Proportional to 13,019.39, 19,530 and 5,228.21

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Solution

The fourth proportional to 13,019.39, 19,530 and 5,228.21 is: 7,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.39 : 19,530 = 5,228.21 : x
  2. Step 2: Convert to fraction form
    13,019.39/19,530 = 5,228.21/x
  3. Step 3: Cross multiply
    13,019.39x = 19,530 × 5,228.21
  4. Step 4: Simplify right side
    13,019.39x = 102,106,941.30
  5. Step 5: Solve for x
    x = 102,106,941.30/13,019.39
  6. Step 6: Final answer
    x = 7,842.68

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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.