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Finding the Fourth Proportional to 20,603.32, 30,828.40 and 12,287.86

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Solution

The fourth proportional to 20,603.32, 30,828.40 and 12,287.86 is: 18,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.32 : 30,828.40 = 12,287.86 : x
  2. Step 2: Convert to fraction form
    20,603.32/30,828.40 = 12,287.86/x
  3. Step 3: Cross multiply
    20,603.32x = 30,828.40 × 12,287.86
  4. Step 4: Simplify right side
    20,603.32x = 378,815,063.22
  5. Step 5: Solve for x
    x = 378,815,063.22/20,603.32
  6. Step 6: Final answer
    x = 18,386.12

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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.