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Finding the Fourth Proportional to 20,221.60, 27,907.90 and 12,157.90

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Solution

The fourth proportional to 20,221.60, 27,907.90 and 12,157.90 is: 16,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.60 : 27,907.90 = 12,157.90 : x
  2. Step 2: Convert to fraction form
    20,221.60/27,907.90 = 12,157.90/x
  3. Step 3: Cross multiply
    20,221.60x = 27,907.90 × 12,157.90
  4. Step 4: Simplify right side
    20,221.60x = 339,301,327.71
  5. Step 5: Solve for x
    x = 339,301,327.71/20,221.60
  6. Step 6: Final answer
    x = 16,779.15

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1.5x scale

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.