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Finding the Fourth Proportional to 13,873.91, 20,802.47 and 5,321.52

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Solution

The fourth proportional to 13,873.91, 20,802.47 and 5,321.52 is: 7,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.91 : 20,802.47 = 5,321.52 : x
  2. Step 2: Convert to fraction form
    13,873.91/20,802.47 = 5,321.52/x
  3. Step 3: Cross multiply
    13,873.91x = 20,802.47 × 5,321.52
  4. Step 4: Simplify right side
    13,873.91x = 110,700,733.55
  5. Step 5: Solve for x
    x = 110,700,733.55/13,873.91
  6. Step 6: Final answer
    x = 7,979.06

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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.