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Finding the Fourth Proportional to 14,458.06, 19,936.28 and 9,412.98

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Solution

The fourth proportional to 14,458.06, 19,936.28 and 9,412.98 is: 12,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.06 : 19,936.28 = 9,412.98 : x
  2. Step 2: Convert to fraction form
    14,458.06/19,936.28 = 9,412.98/x
  3. Step 3: Cross multiply
    14,458.06x = 19,936.28 × 9,412.98
  4. Step 4: Simplify right side
    14,458.06x = 187,659,804.91
  5. Step 5: Solve for x
    x = 187,659,804.91/14,458.06
  6. Step 6: Final answer
    x = 12,979.60

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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.