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Finding the Fourth Proportional to 20,308.50, 28,028.16 and 11,925

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Solution

The fourth proportional to 20,308.50, 28,028.16 and 11,925 is: 16,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.50 : 28,028.16 = 11,925 : x
  2. Step 2: Convert to fraction form
    20,308.50/28,028.16 = 11,925/x
  3. Step 3: Cross multiply
    20,308.50x = 28,028.16 × 11,925
  4. Step 4: Simplify right side
    20,308.50x = 334,235,808
  5. Step 5: Solve for x
    x = 334,235,808/20,308.50
  6. Step 6: Final answer
    x = 16,457.93

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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.