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Finding the Fourth Proportional to 20,742, 28,614.12 and 14,030

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Solution

The fourth proportional to 20,742, 28,614.12 and 14,030 is: 19,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 28,614.12 = 14,030 : x
  2. Step 2: Convert to fraction form
    20,742/28,614.12 = 14,030/x
  3. Step 3: Cross multiply
    20,742x = 28,614.12 × 14,030
  4. Step 4: Simplify right side
    20,742x = 401,456,103.60
  5. Step 5: Solve for x
    x = 401,456,103.60/20,742
  6. Step 6: Final answer
    x = 19,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.