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Finding the Fourth Proportional to 7,270.56, 10,902.20 and 2,885.63

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Solution

The fourth proportional to 7,270.56, 10,902.20 and 2,885.63 is: 4,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.56 : 10,902.20 = 2,885.63 : x
  2. Step 2: Convert to fraction form
    7,270.56/10,902.20 = 2,885.63/x
  3. Step 3: Cross multiply
    7,270.56x = 10,902.20 × 2,885.63
  4. Step 4: Simplify right side
    7,270.56x = 31,459,646.45
  5. Step 5: Solve for x
    x = 31,459,646.45/7,270.56
  6. Step 6: Final answer
    x = 4,326.99

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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.