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Finding the Fourth Proportional to 20,591.87, 30,813.98 and 17,828.06

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Solution

The fourth proportional to 20,591.87, 30,813.98 and 17,828.06 is: 26,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.87 : 30,813.98 = 17,828.06 : x
  2. Step 2: Convert to fraction form
    20,591.87/30,813.98 = 17,828.06/x
  3. Step 3: Cross multiply
    20,591.87x = 30,813.98 × 17,828.06
  4. Step 4: Simplify right side
    20,591.87x = 549,353,241.07
  5. Step 5: Solve for x
    x = 549,353,241.07/20,591.87
  6. Step 6: Final answer
    x = 26,678.17

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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.