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Finding the Fourth Proportional to 19,471, 29,219.46 and 7,159

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Solution

The fourth proportional to 19,471, 29,219.46 and 7,159 is: 10,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471 : 29,219.46 = 7,159 : x
  2. Step 2: Convert to fraction form
    19,471/29,219.46 = 7,159/x
  3. Step 3: Cross multiply
    19,471x = 29,219.46 × 7,159
  4. Step 4: Simplify right side
    19,471x = 209,182,114.14
  5. Step 5: Solve for x
    x = 209,182,114.14/19,471
  6. Step 6: Final answer
    x = 10,743.27

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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.