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Finding the Fourth Proportional to 4,683.72, 7,023.96 and 1,605

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Solution

The fourth proportional to 4,683.72, 7,023.96 and 1,605 is: 2,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.72 : 7,023.96 = 1,605 : x
  2. Step 2: Convert to fraction form
    4,683.72/7,023.96 = 1,605/x
  3. Step 3: Cross multiply
    4,683.72x = 7,023.96 × 1,605
  4. Step 4: Simplify right side
    4,683.72x = 11,273,455.80
  5. Step 5: Solve for x
    x = 11,273,455.80/4,683.72
  6. Step 6: Final answer
    x = 2,406.94

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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.