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Finding the Fourth Proportional to 20,764, 28,655.11 and 11,812.32

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Solution

The fourth proportional to 20,764, 28,655.11 and 11,812.32 is: 16,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 28,655.11 = 11,812.32 : x
  2. Step 2: Convert to fraction form
    20,764/28,655.11 = 11,812.32/x
  3. Step 3: Cross multiply
    20,764x = 28,655.11 × 11,812.32
  4. Step 4: Simplify right side
    20,764x = 338,483,328.96
  5. Step 5: Solve for x
    x = 338,483,328.96/20,764
  6. Step 6: Final answer
    x = 16,301.45

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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.