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Finding the Fourth Proportional to 19,987.79, 29,981.64 and 8,146.49

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Solution

The fourth proportional to 19,987.79, 29,981.64 and 8,146.49 is: 12,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.79 : 29,981.64 = 8,146.49 : x
  2. Step 2: Convert to fraction form
    19,987.79/29,981.64 = 8,146.49/x
  3. Step 3: Cross multiply
    19,987.79x = 29,981.64 × 8,146.49
  4. Step 4: Simplify right side
    19,987.79x = 244,245,130.44
  5. Step 5: Solve for x
    x = 244,245,130.44/19,987.79
  6. Step 6: Final answer
    x = 12,219.72

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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.