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Finding the Fourth Proportional to 13,710.40, 20,546.40 and 10,172.80

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Solution

The fourth proportional to 13,710.40, 20,546.40 and 10,172.80 is: 15,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.40 : 20,546.40 = 10,172.80 : x
  2. Step 2: Convert to fraction form
    13,710.40/20,546.40 = 10,172.80/x
  3. Step 3: Cross multiply
    13,710.40x = 20,546.40 × 10,172.80
  4. Step 4: Simplify right side
    13,710.40x = 209,014,417.92
  5. Step 5: Solve for x
    x = 209,014,417.92/13,710.40
  6. Step 6: Final answer
    x = 15,244.95

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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.