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Finding the Fourth Proportional to 13,830.66, 20,748.15 and 5,071.86

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Solution

The fourth proportional to 13,830.66, 20,748.15 and 5,071.86 is: 7,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.66 : 20,748.15 = 5,071.86 : x
  2. Step 2: Convert to fraction form
    13,830.66/20,748.15 = 5,071.86/x
  3. Step 3: Cross multiply
    13,830.66x = 20,748.15 × 5,071.86
  4. Step 4: Simplify right side
    13,830.66x = 105,231,712.06
  5. Step 5: Solve for x
    x = 105,231,712.06/13,830.66
  6. Step 6: Final answer
    x = 7,608.58

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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.