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Finding the Fourth Proportional to 20,998.59, 28,978.40 and 11,567.16

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Solution

The fourth proportional to 20,998.59, 28,978.40 and 11,567.16 is: 15,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.59 : 28,978.40 = 11,567.16 : x
  2. Step 2: Convert to fraction form
    20,998.59/28,978.40 = 11,567.16/x
  3. Step 3: Cross multiply
    20,998.59x = 28,978.40 × 11,567.16
  4. Step 4: Simplify right side
    20,998.59x = 335,197,586.62
  5. Step 5: Solve for x
    x = 335,197,586.62/20,998.59
  6. Step 6: Final answer
    x = 15,962.87

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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.