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Finding the Fourth Proportional to 14,422.25, 19,904.67 and 8,456.30

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Solution

The fourth proportional to 14,422.25, 19,904.67 and 8,456.30 is: 11,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.25 : 19,904.67 = 8,456.30 : x
  2. Step 2: Convert to fraction form
    14,422.25/19,904.67 = 8,456.30/x
  3. Step 3: Cross multiply
    14,422.25x = 19,904.67 × 8,456.30
  4. Step 4: Simplify right side
    14,422.25x = 168,319,836.04
  5. Step 5: Solve for x
    x = 168,319,836.04/14,422.25
  6. Step 6: Final answer
    x = 11,670.84

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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.