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Finding the Fourth Proportional to 13,342.48, 20,007 and 4,454.68

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Solution

The fourth proportional to 13,342.48, 20,007 and 4,454.68 is: 6,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.48 : 20,007 = 4,454.68 : x
  2. Step 2: Convert to fraction form
    13,342.48/20,007 = 4,454.68/x
  3. Step 3: Cross multiply
    13,342.48x = 20,007 × 4,454.68
  4. Step 4: Simplify right side
    13,342.48x = 89,124,782.76
  5. Step 5: Solve for x
    x = 89,124,782.76/13,342.48
  6. Step 6: Final answer
    x = 6,679.78

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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.