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Finding the Fourth Proportional to 13,817, 20,728.56 and 5,051.72

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Solution

The fourth proportional to 13,817, 20,728.56 and 5,051.72 is: 7,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 20,728.56 = 5,051.72 : x
  2. Step 2: Convert to fraction form
    13,817/20,728.56 = 5,051.72/x
  3. Step 3: Cross multiply
    13,817x = 20,728.56 × 5,051.72
  4. Step 4: Simplify right side
    13,817x = 104,714,881.12
  5. Step 5: Solve for x
    x = 104,714,881.12/13,817
  6. Step 6: Final answer
    x = 7,578.70

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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.