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Finding the Fourth Proportional to 30,788.69, 46,109.73 and 19,660.91

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Solution

The fourth proportional to 30,788.69, 46,109.73 and 19,660.91 is: 29,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.69 : 46,109.73 = 19,660.91 : x
  2. Step 2: Convert to fraction form
    30,788.69/46,109.73 = 19,660.91/x
  3. Step 3: Cross multiply
    30,788.69x = 46,109.73 × 19,660.91
  4. Step 4: Simplify right side
    30,788.69x = 906,559,251.65
  5. Step 5: Solve for x
    x = 906,559,251.65/30,788.69
  6. Step 6: Final answer
    x = 29,444.55

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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.