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Finding the Fourth Proportional to 20,413, 30,626.79 and 10,032.04

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Solution

The fourth proportional to 20,413, 30,626.79 and 10,032.04 is: 15,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 30,626.79 = 10,032.04 : x
  2. Step 2: Convert to fraction form
    20,413/30,626.79 = 10,032.04/x
  3. Step 3: Cross multiply
    20,413x = 30,626.79 × 10,032.04
  4. Step 4: Simplify right side
    20,413x = 307,249,182.35
  5. Step 5: Solve for x
    x = 307,249,182.35/20,413
  6. Step 6: Final answer
    x = 15,051.64

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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.