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Finding the Fourth Proportional to 20,932, 31,412.40 and 8,620

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Solution

The fourth proportional to 20,932, 31,412.40 and 8,620 is: 12,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932 : 31,412.40 = 8,620 : x
  2. Step 2: Convert to fraction form
    20,932/31,412.40 = 8,620/x
  3. Step 3: Cross multiply
    20,932x = 31,412.40 × 8,620
  4. Step 4: Simplify right side
    20,932x = 270,774,888
  5. Step 5: Solve for x
    x = 270,774,888/20,932
  6. Step 6: Final answer
    x = 12,935.93

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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.