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Finding the Fourth Proportional to 21,287.88, 31,928.04 and 5,707.08

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Solution

The fourth proportional to 21,287.88, 31,928.04 and 5,707.08 is: 8,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,287.88 : 31,928.04 = 5,707.08 : x
  2. Step 2: Convert to fraction form
    21,287.88/31,928.04 = 5,707.08/x
  3. Step 3: Cross multiply
    21,287.88x = 31,928.04 × 5,707.08
  4. Step 4: Simplify right side
    21,287.88x = 182,215,878.52
  5. Step 5: Solve for x
    x = 182,215,878.52/21,287.88
  6. Step 6: Final answer
    x = 8,559.61

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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.