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Finding the Fourth Proportional to 7,698.96, 11,548.80 and 5,071.68

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Solution

The fourth proportional to 7,698.96, 11,548.80 and 5,071.68 is: 7,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.96 : 11,548.80 = 5,071.68 : x
  2. Step 2: Convert to fraction form
    7,698.96/11,548.80 = 5,071.68/x
  3. Step 3: Cross multiply
    7,698.96x = 11,548.80 × 5,071.68
  4. Step 4: Simplify right side
    7,698.96x = 58,571,817.98
  5. Step 5: Solve for x
    x = 58,571,817.98/7,698.96
  6. Step 6: Final answer
    x = 7,607.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.