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Finding the Fourth Proportional to 21,149, 31,722.30 and 6,357.62

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Solution

The fourth proportional to 21,149, 31,722.30 and 6,357.62 is: 9,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149 : 31,722.30 = 6,357.62 : x
  2. Step 2: Convert to fraction form
    21,149/31,722.30 = 6,357.62/x
  3. Step 3: Cross multiply
    21,149x = 31,722.30 × 6,357.62
  4. Step 4: Simplify right side
    21,149x = 201,678,328.93
  5. Step 5: Solve for x
    x = 201,678,328.93/21,149
  6. Step 6: Final answer
    x = 9,536.07

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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.