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Finding the Fourth Proportional to 5,139.36, 7,693.68 and 3,837.60

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Solution

The fourth proportional to 5,139.36, 7,693.68 and 3,837.60 is: 5,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.36 : 7,693.68 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    5,139.36/7,693.68 = 3,837.60/x
  3. Step 3: Cross multiply
    5,139.36x = 7,693.68 × 3,837.60
  4. Step 4: Simplify right side
    5,139.36x = 29,525,266.37
  5. Step 5: Solve for x
    x = 29,525,266.37/5,139.36
  6. Step 6: Final answer
    x = 5,744.93

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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.