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Finding the Fourth Proportional to 13,470.99, 20,175.15 and 13,003.80

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Solution

The fourth proportional to 13,470.99, 20,175.15 and 13,003.80 is: 19,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.99 : 20,175.15 = 13,003.80 : x
  2. Step 2: Convert to fraction form
    13,470.99/20,175.15 = 13,003.80/x
  3. Step 3: Cross multiply
    13,470.99x = 20,175.15 × 13,003.80
  4. Step 4: Simplify right side
    13,470.99x = 262,353,615.57
  5. Step 5: Solve for x
    x = 262,353,615.57/13,470.99
  6. Step 6: Final answer
    x = 19,475.45

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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.