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Finding the Fourth Proportional to 2,847.66, 3,929.86 and 1,652.55

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Solution

The fourth proportional to 2,847.66, 3,929.86 and 1,652.55 is: 2,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.66 : 3,929.86 = 1,652.55 : x
  2. Step 2: Convert to fraction form
    2,847.66/3,929.86 = 1,652.55/x
  3. Step 3: Cross multiply
    2,847.66x = 3,929.86 × 1,652.55
  4. Step 4: Simplify right side
    2,847.66x = 6,494,294.27
  5. Step 5: Solve for x
    x = 6,494,294.27/2,847.66
  6. Step 6: Final answer
    x = 2,280.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.