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Finding the Fourth Proportional to 20,297.52, 30,434.76 and 14,814

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Solution

The fourth proportional to 20,297.52, 30,434.76 and 14,814 is: 22,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.52 : 30,434.76 = 14,814 : x
  2. Step 2: Convert to fraction form
    20,297.52/30,434.76 = 14,814/x
  3. Step 3: Cross multiply
    20,297.52x = 30,434.76 × 14,814
  4. Step 4: Simplify right side
    20,297.52x = 450,860,534.64
  5. Step 5: Solve for x
    x = 450,860,534.64/20,297.52
  6. Step 6: Final answer
    x = 22,212.59

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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.