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Finding the Fourth Proportional to 5,109.76, 7,662.08 and 1,646.08

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Solution

The fourth proportional to 5,109.76, 7,662.08 and 1,646.08 is: 2,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.76 : 7,662.08 = 1,646.08 : x
  2. Step 2: Convert to fraction form
    5,109.76/7,662.08 = 1,646.08/x
  3. Step 3: Cross multiply
    5,109.76x = 7,662.08 × 1,646.08
  4. Step 4: Simplify right side
    5,109.76x = 12,612,396.65
  5. Step 5: Solve for x
    x = 12,612,396.65/5,109.76
  6. Step 6: Final answer
    x = 2,468.30

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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.