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Finding the Fourth Proportional to 13,820.32, 20,728 and 5,055.36

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Solution

The fourth proportional to 13,820.32, 20,728 and 5,055.36 is: 7,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.32 : 20,728 = 5,055.36 : x
  2. Step 2: Convert to fraction form
    13,820.32/20,728 = 5,055.36/x
  3. Step 3: Cross multiply
    13,820.32x = 20,728 × 5,055.36
  4. Step 4: Simplify right side
    13,820.32x = 104,787,502.08
  5. Step 5: Solve for x
    x = 104,787,502.08/13,820.32
  6. Step 6: Final answer
    x = 7,582.13

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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.