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Finding the Fourth Proportional to 20,672.64, 31,008 and 10,275.84

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Solution

The fourth proportional to 20,672.64, 31,008 and 10,275.84 is: 15,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.64 : 31,008 = 10,275.84 : x
  2. Step 2: Convert to fraction form
    20,672.64/31,008 = 10,275.84/x
  3. Step 3: Cross multiply
    20,672.64x = 31,008 × 10,275.84
  4. Step 4: Simplify right side
    20,672.64x = 318,633,246.72
  5. Step 5: Solve for x
    x = 318,633,246.72/20,672.64
  6. Step 6: Final answer
    x = 15,413.28

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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.