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Finding the Fourth Proportional to 17,428.56, 24,051.30 and 9,978

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Solution

The fourth proportional to 17,428.56, 24,051.30 and 9,978 is: 13,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.56 : 24,051.30 = 9,978 : x
  2. Step 2: Convert to fraction form
    17,428.56/24,051.30 = 9,978/x
  3. Step 3: Cross multiply
    17,428.56x = 24,051.30 × 9,978
  4. Step 4: Simplify right side
    17,428.56x = 239,983,871.40
  5. Step 5: Solve for x
    x = 239,983,871.40/17,428.56
  6. Step 6: Final answer
    x = 13,769.58

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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.