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Finding the Fourth Proportional to 13,437.63, 20,113.20 and 7,182

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Solution

The fourth proportional to 13,437.63, 20,113.20 and 7,182 is: 10,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.63 : 20,113.20 = 7,182 : x
  2. Step 2: Convert to fraction form
    13,437.63/20,113.20 = 7,182/x
  3. Step 3: Cross multiply
    13,437.63x = 20,113.20 × 7,182
  4. Step 4: Simplify right side
    13,437.63x = 144,453,002.40
  5. Step 5: Solve for x
    x = 144,453,002.40/13,437.63
  6. Step 6: Final answer
    x = 10,749.89

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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.