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Finding the Fourth Proportional to 19,813.76, 29,720.64 and 8,119

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Solution

The fourth proportional to 19,813.76, 29,720.64 and 8,119 is: 12,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.76 : 29,720.64 = 8,119 : x
  2. Step 2: Convert to fraction form
    19,813.76/29,720.64 = 8,119/x
  3. Step 3: Cross multiply
    19,813.76x = 29,720.64 × 8,119
  4. Step 4: Simplify right side
    19,813.76x = 241,301,876.16
  5. Step 5: Solve for x
    x = 241,301,876.16/19,813.76
  6. Step 6: Final answer
    x = 12,178.50

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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.