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Finding the Fourth Proportional to 20,731.60, 31,032.60 and 14,899.60

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Solution

The fourth proportional to 20,731.60, 31,032.60 and 14,899.60 is: 22,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.60 : 31,032.60 = 14,899.60 : x
  2. Step 2: Convert to fraction form
    20,731.60/31,032.60 = 14,899.60/x
  3. Step 3: Cross multiply
    20,731.60x = 31,032.60 × 14,899.60
  4. Step 4: Simplify right side
    20,731.60x = 462,373,326.96
  5. Step 5: Solve for x
    x = 462,373,326.96/20,731.60
  6. Step 6: Final answer
    x = 22,302.83

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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.