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Finding the Fourth Proportional to 6,840.54, 10,259.53 and 4,259.42

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Solution

The fourth proportional to 6,840.54, 10,259.53 and 4,259.42 is: 6,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.54 : 10,259.53 = 4,259.42 : x
  2. Step 2: Convert to fraction form
    6,840.54/10,259.53 = 4,259.42/x
  3. Step 3: Cross multiply
    6,840.54x = 10,259.53 × 4,259.42
  4. Step 4: Simplify right side
    6,840.54x = 43,699,647.27
  5. Step 5: Solve for x
    x = 43,699,647.27/6,840.54
  6. Step 6: Final answer
    x = 6,388.33

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1.5x scale

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.