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Finding the Fourth Proportional to 2,818.87, 4,228.53 and 871.07

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Solution

The fourth proportional to 2,818.87, 4,228.53 and 871.07 is: 1,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.87 : 4,228.53 = 871.07 : x
  2. Step 2: Convert to fraction form
    2,818.87/4,228.53 = 871.07/x
  3. Step 3: Cross multiply
    2,818.87x = 4,228.53 × 871.07
  4. Step 4: Simplify right side
    2,818.87x = 3,683,345.63
  5. Step 5: Solve for x
    x = 3,683,345.63/2,818.87
  6. Step 6: Final answer
    x = 1,306.67

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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.