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Finding the Fourth Proportional to 19,987.29, 29,980.89 and 8,145.99

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Solution

The fourth proportional to 19,987.29, 29,980.89 and 8,145.99 is: 12,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.29 : 29,980.89 = 8,145.99 : x
  2. Step 2: Convert to fraction form
    19,987.29/29,980.89 = 8,145.99/x
  3. Step 3: Cross multiply
    19,987.29x = 29,980.89 × 8,145.99
  4. Step 4: Simplify right side
    19,987.29x = 244,224,030.13
  5. Step 5: Solve for x
    x = 244,224,030.13/19,987.29
  6. Step 6: Final answer
    x = 12,218.97

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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.