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Finding the Fourth Proportional to 13,597.29, 20,379.53 and 7,019.89

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Solution

The fourth proportional to 13,597.29, 20,379.53 and 7,019.89 is: 10,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.29 : 20,379.53 = 7,019.89 : x
  2. Step 2: Convert to fraction form
    13,597.29/20,379.53 = 7,019.89/x
  3. Step 3: Cross multiply
    13,597.29x = 20,379.53 × 7,019.89
  4. Step 4: Simplify right side
    13,597.29x = 143,062,025.45
  5. Step 5: Solve for x
    x = 143,062,025.45/13,597.29
  6. Step 6: Final answer
    x = 10,521.36

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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.