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Finding the Fourth Proportional to 13,428.54, 20,142.73 and 5,220.54

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Solution

The fourth proportional to 13,428.54, 20,142.73 and 5,220.54 is: 7,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.54 : 20,142.73 = 5,220.54 : x
  2. Step 2: Convert to fraction form
    13,428.54/20,142.73 = 5,220.54/x
  3. Step 3: Cross multiply
    13,428.54x = 20,142.73 × 5,220.54
  4. Step 4: Simplify right side
    13,428.54x = 105,155,927.67
  5. Step 5: Solve for x
    x = 105,155,927.67/13,428.54
  6. Step 6: Final answer
    x = 7,830.78

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1.5x scale

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.