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Finding the Fourth Proportional to 19,992, 29,988.48 and 6,142.08

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Solution

The fourth proportional to 19,992, 29,988.48 and 6,142.08 is: 9,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992 : 29,988.48 = 6,142.08 : x
  2. Step 2: Convert to fraction form
    19,992/29,988.48 = 6,142.08/x
  3. Step 3: Cross multiply
    19,992x = 29,988.48 × 6,142.08
  4. Step 4: Simplify right side
    19,992x = 184,191,643.24
  5. Step 5: Solve for x
    x = 184,191,643.24/19,992
  6. Step 6: Final answer
    x = 9,213.27

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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.