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Finding the Fourth Proportional to 20,678.70, 30,985.65 and 13,269.90

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Solution

The fourth proportional to 20,678.70, 30,985.65 and 13,269.90 is: 19,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.70 : 30,985.65 = 13,269.90 : x
  2. Step 2: Convert to fraction form
    20,678.70/30,985.65 = 13,269.90/x
  3. Step 3: Cross multiply
    20,678.70x = 30,985.65 × 13,269.90
  4. Step 4: Simplify right side
    20,678.70x = 411,176,476.94
  5. Step 5: Solve for x
    x = 411,176,476.94/20,678.70
  6. Step 6: Final answer
    x = 19,884.06

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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.