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Finding the Fourth Proportional to 5,255.36, 7,878.02 and 1,967.68

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Solution

The fourth proportional to 5,255.36, 7,878.02 and 1,967.68 is: 2,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.36 : 7,878.02 = 1,967.68 : x
  2. Step 2: Convert to fraction form
    5,255.36/7,878.02 = 1,967.68/x
  3. Step 3: Cross multiply
    5,255.36x = 7,878.02 × 1,967.68
  4. Step 4: Simplify right side
    5,255.36x = 15,501,422.39
  5. Step 5: Solve for x
    x = 15,501,422.39/5,255.36
  6. Step 6: Final answer
    x = 2,949.64

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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.