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Finding the Fourth Proportional to 19,935, 29,904.24 and 5,143.80

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Solution

The fourth proportional to 19,935, 29,904.24 and 5,143.80 is: 7,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,935 : 29,904.24 = 5,143.80 : x
  2. Step 2: Convert to fraction form
    19,935/29,904.24 = 5,143.80/x
  3. Step 3: Cross multiply
    19,935x = 29,904.24 × 5,143.80
  4. Step 4: Simplify right side
    19,935x = 153,821,429.71
  5. Step 5: Solve for x
    x = 153,821,429.71/19,935
  6. Step 6: Final answer
    x = 7,716.15

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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.