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Finding the Fourth Proportional to 7,261.60, 10,896 and 2,878.96

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Solution

The fourth proportional to 7,261.60, 10,896 and 2,878.96 is: 4,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.60 : 10,896 = 2,878.96 : x
  2. Step 2: Convert to fraction form
    7,261.60/10,896 = 2,878.96/x
  3. Step 3: Cross multiply
    7,261.60x = 10,896 × 2,878.96
  4. Step 4: Simplify right side
    7,261.60x = 31,369,148.16
  5. Step 5: Solve for x
    x = 31,369,148.16/7,261.60
  6. Step 6: Final answer
    x = 4,319.87

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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.