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Finding the Fourth Proportional to 20,600, 28,428.04 and 13,038.44

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Solution

The fourth proportional to 20,600, 28,428.04 and 13,038.44 is: 17,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600 : 28,428.04 = 13,038.44 : x
  2. Step 2: Convert to fraction form
    20,600/28,428.04 = 13,038.44/x
  3. Step 3: Cross multiply
    20,600x = 28,428.04 × 13,038.44
  4. Step 4: Simplify right side
    20,600x = 370,657,293.86
  5. Step 5: Solve for x
    x = 370,657,293.86/20,600
  6. Step 6: Final answer
    x = 17,993.07

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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.