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Finding the Fourth Proportional to 5,684.80, 7,842.72 and 4,109.44

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Solution

The fourth proportional to 5,684.80, 7,842.72 and 4,109.44 is: 5,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.80 : 7,842.72 = 4,109.44 : x
  2. Step 2: Convert to fraction form
    5,684.80/7,842.72 = 4,109.44/x
  3. Step 3: Cross multiply
    5,684.80x = 7,842.72 × 4,109.44
  4. Step 4: Simplify right side
    5,684.80x = 32,229,187.28
  5. Step 5: Solve for x
    x = 32,229,187.28/5,684.80
  6. Step 6: Final answer
    x = 5,669.36

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1.5x scale

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.