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Finding the Fourth Proportional to 4,709.50, 7,065.51 and 1,631.50

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Solution

The fourth proportional to 4,709.50, 7,065.51 and 1,631.50 is: 2,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.50 : 7,065.51 = 1,631.50 : x
  2. Step 2: Convert to fraction form
    4,709.50/7,065.51 = 1,631.50/x
  3. Step 3: Cross multiply
    4,709.50x = 7,065.51 × 1,631.50
  4. Step 4: Simplify right side
    4,709.50x = 11,527,379.57
  5. Step 5: Solve for x
    x = 11,527,379.57/4,709.50
  6. Step 6: Final answer
    x = 2,447.69

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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.