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Finding the Fourth Proportional to 13,739.50, 18,960.52 and 7,451.90

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Solution

The fourth proportional to 13,739.50, 18,960.52 and 7,451.90 is: 10,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.50 : 18,960.52 = 7,451.90 : x
  2. Step 2: Convert to fraction form
    13,739.50/18,960.52 = 7,451.90/x
  3. Step 3: Cross multiply
    13,739.50x = 18,960.52 × 7,451.90
  4. Step 4: Simplify right side
    13,739.50x = 141,291,898.99
  5. Step 5: Solve for x
    x = 141,291,898.99/13,739.50
  6. Step 6: Final answer
    x = 10,283.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.