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Finding the Fourth Proportional to 13,714.29, 20,574 and 4,353.93

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Solution

The fourth proportional to 13,714.29, 20,574 and 4,353.93 is: 6,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.29 : 20,574 = 4,353.93 : x
  2. Step 2: Convert to fraction form
    13,714.29/20,574 = 4,353.93/x
  3. Step 3: Cross multiply
    13,714.29x = 20,574 × 4,353.93
  4. Step 4: Simplify right side
    13,714.29x = 89,577,755.82
  5. Step 5: Solve for x
    x = 89,577,755.82/13,714.29
  6. Step 6: Final answer
    x = 6,531.71

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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.