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Finding the Fourth Proportional to 20,858, 28,779.56 and 12,362.78

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Solution

The fourth proportional to 20,858, 28,779.56 and 12,362.78 is: 17,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858 : 28,779.56 = 12,362.78 : x
  2. Step 2: Convert to fraction form
    20,858/28,779.56 = 12,362.78/x
  3. Step 3: Cross multiply
    20,858x = 28,779.56 × 12,362.78
  4. Step 4: Simplify right side
    20,858x = 355,795,368.78
  5. Step 5: Solve for x
    x = 355,795,368.78/20,858
  6. Step 6: Final answer
    x = 17,057.98

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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.