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Finding the Fourth Proportional to 5,109.68, 7,662.60 and 1,646

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Solution

The fourth proportional to 5,109.68, 7,662.60 and 1,646 is: 2,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.68 : 7,662.60 = 1,646 : x
  2. Step 2: Convert to fraction form
    5,109.68/7,662.60 = 1,646/x
  3. Step 3: Cross multiply
    5,109.68x = 7,662.60 × 1,646
  4. Step 4: Simplify right side
    5,109.68x = 12,612,639.60
  5. Step 5: Solve for x
    x = 12,612,639.60/5,109.68
  6. Step 6: Final answer
    x = 2,468.38

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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.