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Finding the Fourth Proportional to 13,597.65, 20,388.15 and 12,437.43

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Solution

The fourth proportional to 13,597.65, 20,388.15 and 12,437.43 is: 18,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.65 : 20,388.15 = 12,437.43 : x
  2. Step 2: Convert to fraction form
    13,597.65/20,388.15 = 12,437.43/x
  3. Step 3: Cross multiply
    13,597.65x = 20,388.15 × 12,437.43
  4. Step 4: Simplify right side
    13,597.65x = 253,576,188.45
  5. Step 5: Solve for x
    x = 253,576,188.45/13,597.65
  6. Step 6: Final answer
    x = 18,648.53

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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.