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Finding the Fourth Proportional to 5,615.82, 8,423.71 and 1,455.48

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Solution

The fourth proportional to 5,615.82, 8,423.71 and 1,455.48 is: 2,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.82 : 8,423.71 = 1,455.48 : x
  2. Step 2: Convert to fraction form
    5,615.82/8,423.71 = 1,455.48/x
  3. Step 3: Cross multiply
    5,615.82x = 8,423.71 × 1,455.48
  4. Step 4: Simplify right side
    5,615.82x = 12,260,537.79
  5. Step 5: Solve for x
    x = 12,260,537.79/5,615.82
  6. Step 6: Final answer
    x = 2,183.21

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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.