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Finding the Fourth Proportional to 20,987.30, 31,479.93 and 7,838.65

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Solution

The fourth proportional to 20,987.30, 31,479.93 and 7,838.65 is: 11,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.30 : 31,479.93 = 7,838.65 : x
  2. Step 2: Convert to fraction form
    20,987.30/31,479.93 = 7,838.65/x
  3. Step 3: Cross multiply
    20,987.30x = 31,479.93 × 7,838.65
  4. Step 4: Simplify right side
    20,987.30x = 246,760,093.08
  5. Step 5: Solve for x
    x = 246,760,093.08/20,987.30
  6. Step 6: Final answer
    x = 11,757.59

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1.5x scale

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.