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Finding the Fourth Proportional to 19,570.08, 29,358.64 and 7,884

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Solution

The fourth proportional to 19,570.08, 29,358.64 and 7,884 is: 11,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.08 : 29,358.64 = 7,884 : x
  2. Step 2: Convert to fraction form
    19,570.08/29,358.64 = 7,884/x
  3. Step 3: Cross multiply
    19,570.08x = 29,358.64 × 7,884
  4. Step 4: Simplify right side
    19,570.08x = 231,463,517.76
  5. Step 5: Solve for x
    x = 231,463,517.76/19,570.08
  6. Step 6: Final answer
    x = 11,827.42

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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.