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Finding the Fourth Proportional to 19,835, 29,751.29 and 8,147.92

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Solution

The fourth proportional to 19,835, 29,751.29 and 8,147.92 is: 12,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835 : 29,751.29 = 8,147.92 : x
  2. Step 2: Convert to fraction form
    19,835/29,751.29 = 8,147.92/x
  3. Step 3: Cross multiply
    19,835x = 29,751.29 × 8,147.92
  4. Step 4: Simplify right side
    19,835x = 242,411,130.82
  5. Step 5: Solve for x
    x = 242,411,130.82/19,835
  6. Step 6: Final answer
    x = 12,221.38

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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.