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Finding the Fourth Proportional to 14,142.12, 19,514.82 and 7,854.12

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Solution

The fourth proportional to 14,142.12, 19,514.82 and 7,854.12 is: 10,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.12 : 19,514.82 = 7,854.12 : x
  2. Step 2: Convert to fraction form
    14,142.12/19,514.82 = 7,854.12/x
  3. Step 3: Cross multiply
    14,142.12x = 19,514.82 × 7,854.12
  4. Step 4: Simplify right side
    14,142.12x = 153,271,738.06
  5. Step 5: Solve for x
    x = 153,271,738.06/14,142.12
  6. Step 6: Final answer
    x = 10,837.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.