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Finding the Fourth Proportional to 7,141.62, 9,848.20 and 5,505.46

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Solution

The fourth proportional to 7,141.62, 9,848.20 and 5,505.46 is: 7,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.62 : 9,848.20 = 5,505.46 : x
  2. Step 2: Convert to fraction form
    7,141.62/9,848.20 = 5,505.46/x
  3. Step 3: Cross multiply
    7,141.62x = 9,848.20 × 5,505.46
  4. Step 4: Simplify right side
    7,141.62x = 54,218,871.17
  5. Step 5: Solve for x
    x = 54,218,871.17/7,141.62
  6. Step 6: Final answer
    x = 7,591.96

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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.