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Finding the Fourth Proportional to 5,609.09, 7,739.47 and 3,840.05

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Solution

The fourth proportional to 5,609.09, 7,739.47 and 3,840.05 is: 5,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.09 : 7,739.47 = 3,840.05 : x
  2. Step 2: Convert to fraction form
    5,609.09/7,739.47 = 3,840.05/x
  3. Step 3: Cross multiply
    5,609.09x = 7,739.47 × 3,840.05
  4. Step 4: Simplify right side
    5,609.09x = 29,719,951.77
  5. Step 5: Solve for x
    x = 29,719,951.77/5,609.09
  6. Step 6: Final answer
    x = 5,298.53

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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.