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Finding the Fourth Proportional to 6,441.54, 9,654.93 and 2,971.50

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Solution

The fourth proportional to 6,441.54, 9,654.93 and 2,971.50 is: 4,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.54 : 9,654.93 = 2,971.50 : x
  2. Step 2: Convert to fraction form
    6,441.54/9,654.93 = 2,971.50/x
  3. Step 3: Cross multiply
    6,441.54x = 9,654.93 × 2,971.50
  4. Step 4: Simplify right side
    6,441.54x = 28,689,624.50
  5. Step 5: Solve for x
    x = 28,689,624.50/6,441.54
  6. Step 6: Final answer
    x = 4,453.85

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Why These Related Problems?

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