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Finding the Fourth Proportional to 15,721.65, 23,585.94 and 5,194.89

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Solution

The fourth proportional to 15,721.65, 23,585.94 and 5,194.89 is: 7,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721.65 : 23,585.94 = 5,194.89 : x
  2. Step 2: Convert to fraction form
    15,721.65/23,585.94 = 5,194.89/x
  3. Step 3: Cross multiply
    15,721.65x = 23,585.94 × 5,194.89
  4. Step 4: Simplify right side
    15,721.65x = 122,526,363.85
  5. Step 5: Solve for x
    x = 122,526,363.85/15,721.65
  6. Step 6: Final answer
    x = 7,793.48

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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.