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Finding the Fourth Proportional to 14,422.16, 19,902.84 and 8,458.13

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Solution

The fourth proportional to 14,422.16, 19,902.84 and 8,458.13 is: 11,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.16 : 19,902.84 = 8,458.13 : x
  2. Step 2: Convert to fraction form
    14,422.16/19,902.84 = 8,458.13/x
  3. Step 3: Cross multiply
    14,422.16x = 19,902.84 × 8,458.13
  4. Step 4: Simplify right side
    14,422.16x = 168,340,808.09
  5. Step 5: Solve for x
    x = 168,340,808.09/14,422.16
  6. Step 6: Final answer
    x = 11,672.37

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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.